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317771040 = 25355312491
BaseRepresentation
bin10010111100001…
…100110100100000
3211010221102220210
4102330030310200
51122322133130
651310534120
710606003116
oct2274146440
9733842823
10317771040
111534120a4
128a507340
1350ab0802
14302bbab6
151cd6e5b0
hex12f0cd20

317771040 has 96 divisors (see below), whose sum is σ = 1019946816. Its totient is φ = 83133440.

The previous prime is 317771039. The next prime is 317771053. The reversal of 317771040 is 40177713.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 317770989 and 317771007.

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, 19195 + ... + 31685.

It is an arithmetic number, because the mean of its divisors is an integer number (10624446).

Almost surely, 2317771040 is an apocalyptic number.

317771040 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 317771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509973408).

317771040 is an abundant number, since it is smaller than the sum of its proper divisors (702175776).

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

317771040 is a wasteful number, since it uses less digits than its factorization.

317771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12562 (or 12554 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 317771040 is about 17826.1336245412. The cubic root of 317771040 is about 682.3985653437.

The spelling of 317771040 in words is "three hundred seventeen million, seven hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12491 12720 24982 25440 37473 49964 62455 74946 99928 124910 149892 187365 199856 249820 299784 374730 399712 499640 599568 662023 749460 999280 1199136 1324046 1498920 1986069 1998560 2648092 2997840 3310115 3972138 5296184 5995680 6620230 7944276 9930345 10592368 13240460 15888552 19860690 21184736 26480920 31777104 39721380 52961840 63554208 79442760 105923680 158885520 317771040