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316677680 = 245112912409
BaseRepresentation
bin10010111000000…
…001111000110000
3211001212220002222
4102320001320300
51122032141210
651231300212
710563500354
oct2270017060
9731786088
10316677680
111528356a0
128a07a668
13507b9c57
14300b5464
151cc05655
hex12e01e30

316677680 has 80 divisors (see below), whose sum is σ = 830973600. Its totient is φ = 111175680.

The previous prime is 316677667. The next prime is 316677707. The reversal of 316677680 is 86776613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19316 + ... + 31724.

It is an arithmetic number, because the mean of its divisors is an integer number (10387170).

Almost surely, 2316677680 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 316677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415486800).

316677680 is an abundant number, since it is smaller than the sum of its proper divisors (514295920).

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

316677680 is a wasteful number, since it uses less digits than its factorization.

316677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 316677680 is about 17795.4398653138. The cubic root of 316677680 is about 681.6150193778.

The spelling of 316677680 in words is "three hundred sixteen million, six hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12409 12760 24818 25520 49636 62045 99272 124090 136499 198544 248180 272998 359861 496360 545996 682495 719722 992720 1091992 1364990 1439444 1799305 2183984 2729980 2878888 3598610 3958471 5459960 5757776 7197220 7916942 10919920 14394440 15833884 19792355 28788880 31667768 39584710 63335536 79169420 158338840 316677680