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317081640 = 23353185237
BaseRepresentation
bin10010111001100…
…100100000101000
3211002122102020110
4102321210200220
51122133103030
651244054320
710600102161
oct2271444050
9732572213
10317081640
11152a91147
128a2343a0
13508cba95
143017c768
151cc851b0
hex12e64828

317081640 has 64 divisors (see below), whose sum is σ = 981941760. Its totient is φ = 81826560.

The previous prime is 317081629. The next prime is 317081641. The reversal of 317081640 is 46180713.

It is a happy number.

317081640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 317081598 and 317081607.

It is not an unprimeable number, because it can be changed into a prime (317081641) by changing a digit.

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, 38899 + ... + 46338.

It is an arithmetic number, because the mean of its divisors is an integer number (15342840).

Almost surely, 2317081640 is an apocalyptic number.

317081640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

317081640 is an abundant number, since it is smaller than the sum of its proper divisors (664860120).

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

317081640 is a wasteful number, since it uses less digits than its factorization.

317081640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85282 (or 85278 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 317081640 is about 17806.7863467836. The cubic root of 317081640 is about 681.9047232050.

The spelling of 317081640 in words is "three hundred seventeen million, eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 85237 170474 255711 340948 426185 511422 681896 852370 1022844 1278555 1704740 2045688 2557110 2642347 3409480 5114220 5284694 7927041 10228440 10569388 13211735 15854082 21138776 26423470 31708164 39635205 52846940 63416328 79270410 105693880 158540820 317081640