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316007676 = 223331372551
BaseRepresentation
bin10010110101011…
…110010011111100
3211000121212001000
4102311132103330
51121344221201
651205050300
710555010115
oct2265362374
9730555030
10316007676
11152418276
12899b6990
1350613cba
142dd7d20c
151cb21d86
hex12d5e4fc

316007676 has 96 divisors (see below), whose sum is σ = 868904960. Its totient is φ = 99144000.

The previous prime is 316007621. The next prime is 316007683. The reversal of 316007676 is 676700613.

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

It is a self number, because there is not a number n which added to its sum of digits gives 316007676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122601 + ... + 125151.

Almost surely, 2316007676 is an apocalyptic number.

316007676 is a gapful number since it is divisible by the number (36) 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 316007676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434452480).

316007676 is an abundant number, since it is smaller than the sum of its proper divisors (552897284).

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

316007676 is a wasteful number, since it uses less digits than its factorization.

316007676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 316007676 is about 17776.6047376882. The cubic root of 316007676 is about 681.1339758530.

The spelling of 316007676 in words is "three hundred sixteen million, seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 93 108 111 124 148 186 222 279 333 372 444 558 666 837 999 1116 1147 1332 1674 1998 2294 2551 3348 3441 3996 4588 5102 6882 7653 10204 10323 13764 15306 20646 22959 30612 30969 41292 45918 61938 68877 79081 91836 94387 123876 137754 158162 188774 237243 275508 283161 316324 377548 474486 566322 711729 849483 948972 1132644 1423458 1698966 2135187 2548449 2846916 2925997 3397932 4270374 5096898 5851994 8540748 8777991 10193796 11703988 17555982 26333973 35111964 52667946 79001919 105335892 158003838 316007676