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316914768 = 2435372203
BaseRepresentation
bin10010111000111…
…011110001010000
3211002022221100000
4102320323301100
51122112233033
651240330000
710565505522
oct2270736120
9732287300
10316914768
11152987835
128a173900
1350870b41
1430137a12
151cc50a13
hex12e3bc50

316914768 has 120 divisors (see below), whose sum is σ = 945057568. Its totient is φ = 102736512.

The previous prime is 316914761. The next prime is 316914803. The reversal of 316914768 is 867419613.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316914761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142755 + ... + 144957.

Almost surely, 2316914768 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 316914768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472528784).

316914768 is an abundant number, since it is smaller than the sum of its proper divisors (628142800).

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

316914768 is a wasteful number, since it uses less digits than its factorization.

316914768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2245 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 316914768 is about 17802.1001008308. The cubic root of 316914768 is about 681.7850791783.

The spelling of 316914768 in words is "three hundred sixteen million, nine hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 888 972 999 1296 1332 1776 1944 1998 2203 2664 2997 3888 3996 4406 5328 5994 6609 7992 8812 8991 11988 13218 15984 17624 17982 19827 23976 26436 35248 35964 39654 47952 52872 59481 71928 79308 81511 105744 118962 143856 158616 163022 178443 237924 244533 317232 326044 356886 475848 489066 535329 652088 713772 733599 951696 978132 1070658 1304176 1427544 1467198 1956264 2141316 2200797 2855088 2934396 3912528 4282632 4401594 5868792 6602391 8565264 8803188 11737584 13204782 17606376 19807173 26409564 35212752 39614346 52819128 79228692 105638256 158457384 316914768