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3313590272 = 2131961349
BaseRepresentation
bin1100010110000001…
…0110000000000000
322112221002211022122
43011200112000000
523241234342042
61304445423412
7145054024016
oct30540260000
98487084278
103313590272
111450487463
1278586ab68
1340a660105
142361168b6
15145d897d2
hexc5816000

3313590272 has 112 divisors (see below), whose sum is σ = 7110222000. Its totient is φ = 1539440640.

The previous prime is 3313590233. The next prime is 3313590283. The reversal of 3313590272 is 2720953133.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9494354 + ... + 9494702.

It is an arithmetic number, because the mean of its divisors is an integer number (63484125).

Almost surely, 23313590272 is an apocalyptic number.

3313590272 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 3313590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555111000).

3313590272 is an abundant number, since it is smaller than the sum of its proper divisors (3796631728).

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

3313590272 is an equidigital number, since it uses as much as digits as its factorization.

3313590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 3313590272 is about 57563.7930647382. The cubic root of 3313590272 is about 1490.8465186582.

The spelling of 3313590272 in words is "three billion, three hundred thirteen million, five hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 349 488 512 608 698 976 1024 1159 1216 1396 1952 2048 2318 2432 2792 3904 4096 4636 4864 5584 6631 7808 8192 9272 9728 11168 13262 15616 18544 19456 21289 22336 26524 31232 37088 38912 42578 44672 53048 62464 74176 77824 85156 89344 106096 124928 148352 155648 170312 178688 212192 249856 296704 340624 357376 404491 424384 499712 593408 681248 714752 808982 848768 1186816 1362496 1429504 1617964 1697536 2373632 2724992 2859008 3235928 3395072 4747264 5449984 6471856 6790144 9494528 10899968 12943712 13580288 21799936 25887424 27160576 43599872 51774848 54321152 87199744 103549696 174399488 207099392 414198784 828397568 1656795136 3313590272