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317038440 = 2335172329233
BaseRepresentation
bin10010111001011…
…001111101101000
3211002120012222110
4102321121331220
51122130212230
651243122320
710566532215
oct2271317550
9732505873
10317038440
11152a61744
128a2133a0
13508b5214
143016ab0c
151cc774b0
hex12e59f68

317038440 has 256 divisors, whose sum is σ = 1091750400. Its totient is φ = 73170944.

The previous prime is 317038409. The next prime is 317038481. The reversal of 317038440 is 44830713.

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 = 317038398 and 317038407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1360564 + ... + 1360796.

It is an arithmetic number, because the mean of its divisors is an integer number (4264650).

Almost surely, 2317038440 is an apocalyptic number.

317038440 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 317038440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545875200).

317038440 is an abundant number, since it is smaller than the sum of its proper divisors (774711960).

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

317038440 is a wasteful number, since it uses less digits than its factorization.

317038440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 317038440 is about 17805.5732847892. The cubic root of 317038440 is about 681.8737536604.

The spelling of 317038440 in words is "three hundred seventeen million, thirty-eight thousand, four hundred forty".