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316918912 = 2737611097
BaseRepresentation
bin10010111000111…
…100110010000000
3211002100011000111
4102320330302000
51122112401122
651240401104
710565523562
oct2270746200
9732304014
10316918912
1115298a962
128a176194
13508729ab
1430139332
151cc51d77
hex12e3cc80

316918912 has 64 divisors (see below), whose sum is σ = 659656440. Its totient is φ = 151511040.

The previous prime is 316918907. The next prime is 316918919. The reversal of 316918912 is 219819613.

It can be written as a sum of positive squares in 4 ways, for example, as 222129216 + 94789696 = 14904^2 + 9736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (316918919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288348 + ... + 289444.

Almost surely, 2316918912 is an apocalyptic number.

316918912 is a gapful number since it is divisible by the number (32) 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 316918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329828220).

316918912 is an abundant number, since it is smaller than the sum of its proper divisors (342737528).

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

316918912 is a wasteful number, since it uses less digits than its factorization.

316918912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1197 counting only the distinct ones).

The product of its digits is 23328, while the sum is 40.

The square root of 316918912 is about 17802.2164912125. The cubic root of 316918912 is about 681.7880508554.

The spelling of 316918912 in words is "three hundred sixteen million, nine hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 128 148 244 296 488 592 976 1097 1184 1952 2194 2257 2368 3904 4388 4514 4736 7808 8776 9028 17552 18056 35104 36112 40589 66917 70208 72224 81178 133834 140416 144448 162356 267668 288896 324712 535336 649424 1070672 1298848 2141344 2475929 2597696 4282688 4951858 5195392 8565376 9903716 19807432 39614864 79229728 158459456 316918912