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2999542320 = 2433511031259
BaseRepresentation
bin1011001011001001…
…0110001000110000
321202001011112112000
42302302112020300
522120340323240
61213350334000
7134221455225
oct26262261060
97661145460
102999542320
1112aa1885a5
126b865a300
1338a584118
1420652794c
15128503430
hexb2c96230

2999542320 has 160 divisors (see below), whose sum is σ = 10349337600. Its totient is φ = 798518016.

The previous prime is 2999542313. The next prime is 2999542327. The reversal of 2999542320 is 232459992.

It is an interprime number because it is at equal distance from previous prime (2999542313) and next prime (2999542327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2999542327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2381851 + ... + 2383109.

It is an arithmetic number, because the mean of its divisors is an integer number (64683360).

Almost surely, 22999542320 is an apocalyptic number.

2999542320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2999542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174668800).

2999542320 is an abundant number, since it is smaller than the sum of its proper divisors (7349795280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2999542320 is a wasteful number, since it uses less digits than its factorization.

2999542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2999542320 is about 54768.0775634858. The cubic root of 2999542320 is about 1442.1762233792.

The spelling of 2999542320 in words is "two billion, nine hundred ninety-nine million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1103 1259 2160 2206 2518 3309 3777 4412 5036 5515 6295 6618 7554 8824 9927 10072 11030 11331 12590 13236 15108 16545 17648 18885 19854 20144 22060 22662 25180 26472 29781 30216 33090 33993 37770 39708 44120 45324 49635 50360 52944 56655 59562 60432 66180 67986 75540 79416 88240 90648 99270 100720 113310 119124 132360 135972 148905 151080 158832 169965 181296 198540 226620 238248 264720 271944 297810 302160 339930 397080 453240 476496 543888 595620 679860 794160 906480 1191240 1359720 1388677 2382480 2719440 2777354 4166031 5554708 6943385 8332062 11109416 12498093 13886770 16664124 20830155 22218832 24996186 27773540 33328248 37494279 41660310 49992372 55547080 62490465 66656496 74988558 83320620 99984744 111094160 124980930 149977116 166641240 187471395 199969488 249961860 299954232 333282480 374942790 499923720 599908464 749885580 999847440 1499771160 2999542320