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331677696 = 21637241
BaseRepresentation
bin10011110001010…
…000000000000000
3212010002222021010
4103301100000000
51134402141241
652525000520
711135133240
oct2361200000
9763088233
10331677696
111602503a9
12930b3140
135393c5bc
143209bb20
151e1b9d16
hex13c50000

331677696 has 136 divisors (see below), whose sum is σ = 1015013824. Its totient is φ = 94371840.

The previous prime is 331677677. The next prime is 331677739. The reversal of 331677696 is 696776133.

It is a super-2 number, since 2×3316776962 = 220020188047736832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376136 + ... + 1376376.

Almost surely, 2331677696 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 331677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507506912).

331677696 is an abundant number, since it is smaller than the sum of its proper divisors (683336128).

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

331677696 is an frugal number, since it uses more digits than its factorization.

331677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its digits is 857304, while the sum is 48.

The square root of 331677696 is about 18212.0206457164. The cubic root of 331677696 is about 692.2114136806.

The spelling of 331677696 in words is "three hundred thirty-one million, six hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 241 256 336 384 448 482 512 672 723 768 896 964 1024 1344 1446 1536 1687 1792 1928 2048 2688 2892 3072 3374 3584 3856 4096 5061 5376 5784 6144 6748 7168 7712 8192 10122 10752 11568 12288 13496 14336 15424 16384 20244 21504 23136 24576 26992 28672 30848 32768 40488 43008 46272 49152 53984 57344 61696 65536 80976 86016 92544 98304 107968 114688 123392 161952 172032 185088 196608 215936 229376 246784 323904 344064 370176 431872 458752 493568 647808 688128 740352 863744 987136 1295616 1376256 1480704 1727488 1974272 2591232 2961408 3454976 3948544 5182464 5922816 6909952 7897088 10364928 11845632 13819904 15794176 20729856 23691264 27639808 41459712 47382528 55279616 82919424 110559232 165838848 331677696