Search a number
-
+
316960224 = 25372431567
BaseRepresentation
bin10010111001000…
…110110111100000
3211002102020200120
4102321012313200
51122120211344
651241320240
710566055200
oct2271066740
9732366616
10316960224
11152a089a9
128a196080
1350888739
143014a400
151cc5e219
hex12e46de0

316960224 has 144 divisors (see below), whose sum is σ = 991001088. Its totient is φ = 88397568.

The previous prime is 316960219. The next prime is 316960243. The reversal of 316960224 is 422069613.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201489 + ... + 203055.

It is an arithmetic number, because the mean of its divisors is an integer number (6881952).

Almost surely, 2316960224 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 316960224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495500544).

316960224 is an abundant number, since it is smaller than the sum of its proper divisors (674040864).

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

316960224 is a wasteful number, since it uses less digits than its factorization.

316960224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 316960224 is about 17803.3767583568. The cubic root of 316960224 is about 681.8176744206.

The spelling of 316960224 in words is "three hundred sixteen million, nine hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 344 392 516 588 602 672 688 784 903 1032 1176 1204 1376 1567 1568 1806 2064 2107 2352 2408 3134 3612 4128 4214 4701 4704 4816 6268 6321 7224 8428 9402 9632 10969 12536 12642 14448 16856 18804 21938 25072 25284 28896 32907 33712 37608 43876 50144 50568 65814 67381 67424 75216 76783 87752 101136 131628 134762 150432 153566 175504 202143 202272 230349 263256 269524 307132 351008 404286 460698 471667 526512 539048 614264 808572 921396 943334 1053024 1078096 1228528 1415001 1617144 1842792 1886668 2156192 2457056 2830002 3234288 3301669 3685584 3773336 5660004 6468576 6603338 7371168 7546672 9905007 11320008 13206676 15093344 19810014 22640016 26413352 39620028 45280032 52826704 79240056 105653408 158480112 316960224