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314397696 = 2103531931
BaseRepresentation
bin10010101111010…
…101010000000000
3210220121001120010
4102233111100000
51120441211241
651110344520
710535223234
oct2257252000
9726531503
10314397696
11151518708
128935b140
135019c252
142da805c4
151c904d16
hex12bd5400

314397696 has 88 divisors (see below), whose sum is σ = 854237664. Its totient is φ = 102768640.

The previous prime is 314397683. The next prime is 314397737. The reversal of 314397696 is 696793413.

It is a super-2 number, since 2×3143976962 = 197691822500216832, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161851 + ... + 163781.

Almost surely, 2314397696 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 314397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427118832).

314397696 is an abundant number, since it is smaller than the sum of its proper divisors (539839968).

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

314397696 is a wasteful number, since it uses less digits than its factorization.

314397696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1989 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 314397696 is about 17731.2632375700. The cubic root of 314397696 is about 679.9752701502.

The spelling of 314397696 in words is "three hundred fourteen million, three hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 1931 2544 3072 3392 3862 5088 5793 6784 7724 10176 11586 13568 15448 20352 23172 27136 30896 40704 46344 54272 61792 81408 92688 102343 123584 162816 185376 204686 247168 307029 370752 409372 494336 614058 741504 818744 988672 1228116 1483008 1637488 1977344 2456232 2966016 3274976 4912464 5932032 6549952 9824928 13099904 19649856 26199808 39299712 52399616 78599424 104799232 157198848 314397696