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3640979328 = 273711311987
BaseRepresentation
bin1101100100000100…
…1110111110000000
3100101202010220200020
43121001032332000
524424042314303
61401142453440
7156140546040
oct33101167600
910352126606
103640979328
1115a9268728
12857434280
1346042a64c
142677b9720
151649a8a53
hexd904ef80

3640979328 has 128 divisors (see below), whose sum is σ = 11151717120. Its totient is φ = 1030987776.

The previous prime is 3640979323. The next prime is 3640979333. The reversal of 3640979328 is 8239790463.

It is an interprime number because it is at equal distance from previous prime (3640979323) and next prime (3640979333).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640979323) 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, 297751 + ... + 309737.

It is an arithmetic number, because the mean of its divisors is an integer number (87122790).

Almost surely, 23640979328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575858560).

3640979328 is an abundant number, since it is smaller than the sum of its proper divisors (7510737792).

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

3640979328 is a wasteful number, since it uses less digits than its factorization.

3640979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12112 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3640979328 is about 60340.5280719352. The cubic root of 3640979328 is about 1538.4122794238.

The spelling of 3640979328 in words is "three billion, six hundred forty million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 336 339 384 448 452 672 678 791 896 904 1344 1356 1582 1808 2373 2688 2712 3164 3616 4746 5424 6328 7232 9492 10848 11987 12656 14464 18984 21696 23974 25312 35961 37968 43392 47948 50624 71922 75936 83909 95896 101248 143844 151872 167818 191792 251727 287688 303744 335636 383584 503454 575376 671272 767168 1006908 1150752 1342544 1354531 1534336 2013816 2301504 2685088 2709062 4027632 4063593 4603008 5370176 5418124 8055264 8127186 9481717 10740352 10836248 16110528 16254372 18963434 21672496 28445151 32221056 32508744 37926868 43344992 56890302 65017488 75853736 86689984 113780604 130034976 151707472 173379968 227561208 260069952 303414944 455122416 520139904 606829888 910244832 1213659776 1820489664 3640979328