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316772352 = 2123213661
BaseRepresentation
bin10010111000011…
…001000000000000
3211002001200222100
4102320121000000
51122043203402
651233310400
710564343361
oct2270310000
9732050870
10316772352
1115289a836
128a105400
1350821080
14300dbb68
151cc2371c
hex12e19000

316772352 has 156 divisors (see below), whose sum is σ = 986884444. Its totient is φ = 97320960.

The previous prime is 316772347. The next prime is 316772381. The reversal of 316772352 is 253277613.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 170459136 = 12096^2 + 13056^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×3167723522 = 200689445983223808, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478902 + ... + 479562.

Almost surely, 2316772352 is an apocalyptic number.

316772352 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 316772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493442222).

316772352 is an abundant number, since it is smaller than the sum of its proper divisors (670112092).

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

316772352 is a wasteful number, since it uses less digits than its factorization.

316772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 679 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 316772352 is about 17798.0996738416. The cubic root of 316772352 is about 681.6829364133.

The spelling of 316772352 in words is "three hundred sixteen million, seven hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 661 768 832 936 1024 1152 1248 1322 1536 1664 1872 1983 2048 2304 2496 2644 3072 3328 3744 3966 4096 4608 4992 5288 5949 6144 6656 7488 7932 8593 9216 9984 10576 11898 12288 13312 14976 15864 17186 18432 19968 21152 23796 25779 26624 29952 31728 34372 36864 39936 42304 47592 51558 53248 59904 63456 68744 77337 79872 84608 95184 103116 119808 126912 137488 154674 159744 169216 190368 206232 239616 253824 274976 309348 338432 380736 412464 479232 507648 549952 618696 676864 761472 824928 1015296 1099904 1237392 1353728 1522944 1649856 2030592 2199808 2474784 2707456 3045888 3299712 4061184 4399616 4949568 6091776 6599424 8122368 8799232 9899136 12183552 13198848 17598464 19798272 24367104 26397696 35196928 39596544 52795392 79193088 105590784 158386176 316772352