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314071956 = 223211272101
BaseRepresentation
bin10010101110000…
…101101110010100
3210212222111201200
4102232011232110
51120400300311
651055352500
710532365452
oct2256055624
9725874650
10314071956
11151315a00
1289222730
13500b6bc3
142d9d79d2
151c88d556
hex12b85b94

314071956 has 54 divisors (see below), whose sum is σ = 872650506. Its totient is φ = 95172000.

The previous prime is 314071951. The next prime is 314071963. The reversal of 314071956 is 659170413.

It can be written as a sum of positive squares in only one way, i.e., 222487056 + 91584900 = 14916^2 + 9570^2 .

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 314071956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314071951) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31695 + ... + 40406.

Almost surely, 2314071956 is an apocalyptic number.

314071956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314071956 is an abundant number, since it is smaller than the sum of its proper divisors (558578550).

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

314071956 is a wasteful number, since it uses less digits than its factorization.

314071956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72133 (or 72117 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 314071956 is about 17722.0753863649. The cubic root of 314071956 is about 679.7403535816.

The spelling of 314071956 in words is "three hundred fourteen million, seventy-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 72101 144202 216303 288404 432606 648909 793111 865212 1297818 1586222 2379333 2595636 3172444 4758666 7137999 8724221 9517332 14275998 17448442 26172663 28551996 34896884 52345326 78517989 104690652 157035978 314071956