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314026992 = 243217373467
BaseRepresentation
bin10010101101111…
…010101111110000
3210212220020001100
4102231322233300
51120342330432
651054404400
710532120406
oct2255725760
9725806040
10314026992
11151295144
1289200700
135009c5b6
142d9c5476
151c88007c
hex12b7abf0

314026992 has 120 divisors (see below), whose sum is σ = 955961136. Its totient is φ = 95827968.

The previous prime is 314026991. The next prime is 314027011. The reversal of 314026992 is 299620413.

It is a super-2 number, since 2×3140269922 = 197225903409136128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314026991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88843 + ... + 92309.

Almost surely, 2314026992 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 314026992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477980568).

314026992 is an abundant number, since it is smaller than the sum of its proper divisors (641934144).

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

314026992 is a wasteful number, since it uses less digits than its factorization.

314026992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 314026992 is about 17720.8067536441. The cubic root of 314026992 is about 679.7079137713.

The spelling of 314026992 in words is "three hundred fourteen million, twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3467 3774 5032 5328 5661 6934 7548 10064 10401 11322 13868 15096 20802 22644 27736 30192 31203 41604 45288 55472 58939 62406 83208 90576 117878 124812 128279 166416 176817 235756 249624 256558 353634 384837 471512 499248 513116 530451 707268 769674 943024 1026232 1060902 1154511 1414536 1539348 2052464 2121804 2180743 2309022 2829072 3078696 4243608 4361486 4618044 6157392 6542229 8487216 8722972 9236088 13084458 17445944 18472176 19626687 26168916 34891888 39253374 52337832 78506748 104675664 157013496 314026992