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317213040 = 24352235927
BaseRepresentation
bin10010111010000…
…100100101110000
3211002220002111010
4102322010211300
51122201304130
651250550520
710601160234
oct2272044560
9732802433
10317213040
11153070941
128a298440
1350946831
14301b45c4
151ccae0b0
hex12e84970

317213040 has 80 divisors (see below), whose sum is σ = 987936768. Its totient is φ = 84196608.

The previous prime is 317212967. The next prime is 317213053. The reversal of 317213040 is 40312713.

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

It is a super-2 number, since 2×3172130402 = 201248225492083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 317212998 and 317213016.

It is a congruent number.

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, 50557 + ... + 56483.

Almost surely, 2317213040 is an apocalyptic number.

317213040 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 317213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

317213040 is an abundant number, since it is smaller than the sum of its proper divisors (670723728).

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

317213040 is a wasteful number, since it uses less digits than its factorization.

317213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 317213040 is about 17810.4755691700. The cubic root of 317213040 is about 681.9989049498.

Adding to 317213040 its reverse (40312713), we get a palindrome (357525753).

The spelling of 317213040 in words is "three hundred seventeen million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 5927 6690 8920 10704 11854 13380 17781 17840 23708 26760 29635 35562 47416 53520 59270 71124 88905 94832 118540 142248 177810 237080 284496 355620 474160 711240 1321721 1422480 2643442 3965163 5286884 6608605 7930326 10573768 13217210 15860652 19825815 21147536 26434420 31721304 39651630 52868840 63442608 79303260 105737680 158606520 317213040