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317720640 = 26351392381
BaseRepresentation
bin10010111100000…
…000100001000000
3211010211212210010
4102330000201000
51122314030030
651305504520
710605403146
oct2274004100
9733755703
10317720640
11153388246
128a4a2140
1350a938a3
14302a7596
151cd5e6b0
hex12f00840

317720640 has 112 divisors (see below), whose sum is σ = 1016447040. Its totient is φ = 84080640.

The previous prime is 317720629. The next prime is 317720651. The reversal of 317720640 is 46027713.

It is an interprime number because it is at equal distance from previous prime (317720629) and next prime (317720651).

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 = 317720598 and 317720607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132250 + ... + 134630.

It is an arithmetic number, because the mean of its divisors is an integer number (9075420).

Almost surely, 2317720640 is an apocalyptic number.

317720640 is a gapful number since it is divisible by the number (30) 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 317720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508223520).

317720640 is an abundant number, since it is smaller than the sum of its proper divisors (698726400).

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

317720640 is a wasteful number, since it uses less digits than its factorization.

317720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 317720640 is about 17824.7199136480. The cubic root of 317720640 is about 682.3624862156.

The spelling of 317720640 in words is "three hundred seventeen million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 417 480 556 695 834 960 1112 1390 1668 2085 2224 2381 2780 3336 4170 4448 4762 5560 6672 7143 8340 8896 9524 11120 11905 13344 14286 16680 19048 22240 23810 26688 28572 33360 35715 38096 44480 47620 57144 66720 71430 76192 95240 114288 133440 142860 152384 190480 228576 285720 330959 380960 457152 571440 661918 761920 992877 1142880 1323836 1654795 1985754 2285760 2647672 3309590 3971508 4964385 5295344 6619180 7943016 9928770 10590688 13238360 15886032 19857540 21181376 26476720 31772064 39715080 52953440 63544128 79430160 105906880 158860320 317720640