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30303072 = 2537433
BaseRepresentation
bin111001110011…
…0001101100000
32010000120000000
41303212031200
530224144242
63001300000
7515400102
oct163461540
963016000
1030303072
1116118168
12a194600
13637cc17
14404b572
1529d8a4c
hex1ce6360

30303072 has 96 divisors (see below), whose sum is σ = 89681760. Its totient is φ = 10077696.

The previous prime is 30303071. The next prime is 30303073. The reversal of 30303072 is 27030303.

It is an interprime number because it is at equal distance from previous prime (30303071) and next prime (30303073).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30303071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69768 + ... + 70200.

It is an arithmetic number, because the mean of its divisors is an integer number (934185).

Almost surely, 230303072 is an apocalyptic number.

30303072 is a gapful number since it is divisible by the number (32) 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 30303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44840880).

30303072 is an abundant number, since it is smaller than the sum of its proper divisors (59378688).

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

30303072 is an frugal number, since it uses more digits than its factorization.

30303072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 30303072 is about 5504.8226129459. The cubic root of 30303072 is about 311.7660968785.

Adding to 30303072 its reverse (27030303), we get a palindrome (57333375).

The spelling of 30303072 in words is "thirty million, three hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 433 486 648 729 864 866 972 1296 1299 1458 1732 1944 2187 2592 2598 2916 3464 3888 3897 4374 5196 5832 6928 7776 7794 8748 10392 11664 11691 13856 15588 17496 20784 23328 23382 31176 34992 35073 41568 46764 62352 69984 70146 93528 105219 124704 140292 187056 210438 280584 315657 374112 420876 561168 631314 841752 946971 1122336 1262628 1683504 1893942 2525256 3367008 3787884 5050512 7575768 10101024 15151536 30303072