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316697040 = 24355111481
BaseRepresentation
bin10010111000000…
…110100111010000
3211001220212200000
4102320012213100
51122033301130
651231530000
710563610662
oct2270064720
9731825600
10316697040
111528491a0
128a089900
13507c59ca
14300bc532
151cc0b260
hex12e069d0

316697040 has 240 divisors, whose sum is σ = 1204047936. Its totient is φ = 76723200.

The previous prime is 316697011. The next prime is 316697053. The reversal of 316697040 is 40796613.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316696986 and 316697004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213100 + ... + 214580.

Almost surely, 2316697040 is an apocalyptic number.

316697040 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 316697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602023968).

316697040 is an abundant number, since it is smaller than the sum of its proper divisors (887350896).

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

316697040 is a wasteful number, since it uses less digits than its factorization.

316697040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 316697040 is about 17795.9838165806. The cubic root of 316697040 is about 681.6289092083.

The spelling of 316697040 in words is "three hundred sixteen million, six hundred ninety-seven thousand, forty".