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316895040 = 263257111429
BaseRepresentation
bin10010111000110…
…110111101000000
3211002021221021100
4102320312331000
51122111120130
651240054400
710565364150
oct2270667500
9732257240
10316895040
11152973a30
128a164400
1350864b77
1430130760
151cc49c60
hex12e36f40

316895040 has 336 divisors, whose sum is σ = 1359895680. Its totient is φ = 65802240.

The previous prime is 316895021. The next prime is 316895041. The reversal of 316895040 is 40598613.

316895040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 316894986 and 316895004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316895041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221046 + ... + 222474.

Almost surely, 2316895040 is an apocalyptic number.

316895040 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 316895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679947840).

316895040 is an abundant number, since it is smaller than the sum of its proper divisors (1043000640).

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

316895040 is a wasteful number, since it uses less digits than its factorization.

316895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 316895040 is about 17801.5460002776. The cubic root of 316895040 is about 681.7709318044.

The spelling of 316895040 in words is "three hundred sixteen million, eight hundred ninety-five thousand, forty".