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2952653340 = 2235713540779
BaseRepresentation
bin1010111111111101…
…1110101000011100
321121202221022221010
42233333132220130
522021334401330
61204553335220
7133112065530
oct25777365034
97552838833
102952653340
11128577217a
126a4a07510
13380947a70
142001ddbc0
151243403b0
hexaffdea1c

2952653340 has 96 divisors (see below), whose sum is σ = 10175316480. Its totient is φ = 622976256.

The previous prime is 2952653329. The next prime is 2952653423. The reversal of 2952653340 is 433562592.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264930 + ... + 275849.

It is an arithmetic number, because the mean of its divisors is an integer number (105992880).

Almost surely, 22952653340 is an apocalyptic number.

2952653340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2952653340 is an abundant number, since it is smaller than the sum of its proper divisors (7222663140).

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

2952653340 is a wasteful number, since it uses less digits than its factorization.

2952653340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540811 (or 540809 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 2952653340 is about 54338.3229406282. The cubic root of 2952653340 is about 1434.6220017959.

The spelling of 2952653340 in words is "two billion, nine hundred fifty-two million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 540779 1081558 1622337 2163116 2703895 3244674 3785453 5407790 6489348 7030127 7570906 8111685 10815580 11356359 14060254 15141812 16223370 18927265 21090381 22712718 28120508 32446740 35150635 37854530 42180762 45425436 49210889 56781795 70301270 75709060 84361524 98421778 105451905 113563590 140602540 147632667 196843556 210903810 227127180 246054445 295265334 421807620 492108890 590530668 738163335 984217780 1476326670 2952653340