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316770048 = 283376547
BaseRepresentation
bin10010111000011…
…000011100000000
3211002001120211000
4102320120130000
51122043120143
651233252000
710564333560
oct2270303400
9732046730
10316770048
11152899031
128a104000
135081ccca
14300dada0
151cc22bd3
hex12e18700

316770048 has 144 divisors (see below), whose sum is σ = 1070728960. Its totient is φ = 90491904.

The previous prime is 316770043. The next prime is 316770049. The reversal of 316770048 is 840077613.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316769994 and 316770021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316770043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45111 + ... + 51657.

Almost surely, 2316770048 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 316770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535364480).

316770048 is an abundant number, since it is smaller than the sum of its proper divisors (753958912).

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

316770048 is an equidigital number, since it uses as much as digits as its factorization.

316770048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6579 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 316770048 is about 17798.0349477126. The cubic root of 316770048 is about 681.6812837004.

The spelling of 316770048 in words is "three hundred sixteen million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6547 6912 8064 12096 13094 16128 19641 24192 26188 39282 45829 48384 52376 58923 78564 91658 104752 117846 137487 157128 176769 183316 209504 235692 274974 314256 353538 366632 412461 419008 471384 549948 628512 707076 733264 824922 838016 942768 1099896 1237383 1257024 1414152 1466528 1649844 1676032 1885536 2199792 2474766 2514048 2828304 2933056 3299688 3771072 4399584 4949532 5028096 5656608 5866112 6599376 7542144 8799168 9899064 11313216 11732224 13198752 15084288 17598336 19798128 22626432 26397504 35196672 39596256 45252864 52795008 79192512 105590016 158385024 316770048