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331701696 = 26331910103
BaseRepresentation
bin10011110001010…
…101110111000000
3212010011012012000
4103301111313000
51134403423241
652525304000
711135263224
oct2361256700
9763135160
10331701696
11160267437
1293105000
135394a4c1
14320a6784
151e1c1eb6
hex13c55dc0

331701696 has 112 divisors (see below), whose sum is σ = 1026566400. Its totient is φ = 104737536.

The previous prime is 331701661. The next prime is 331701703. The reversal of 331701696 is 696107133.

It is a super-2 number, since 2×3317016962 = 220052030258552832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 331701696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27781 + ... + 37883.

Almost surely, 2331701696 is an apocalyptic number.

331701696 is a gapful number since it is divisible by the number (36) 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 331701696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513283200).

331701696 is an abundant number, since it is smaller than the sum of its proper divisors (694864704).

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

331701696 is a wasteful number, since it uses less digits than its factorization.

331701696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 331701696 is about 18212.6795392660. The cubic root of 331701696 is about 692.2281092794.

The spelling of 331701696 in words is "three hundred thirty-one million, seven hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10103 10944 16416 20206 30309 32832 40412 60618 80824 90927 121236 161648 181854 191957 242472 272781 323296 363708 383914 484944 545562 575871 646592 727416 767828 969888 1091124 1151742 1454832 1535656 1727613 1939776 2182248 2303484 2909664 3071312 3455226 4364496 4606968 5182839 5819328 6142624 6910452 8728992 9213936 10365678 12285248 13820904 17457984 18427872 20731356 27641808 36855744 41462712 55283616 82925424 110567232 165850848 331701696