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316842480 = 243251922353
BaseRepresentation
bin10010111000101…
…010000111110000
3211002012021011200
4102320222013300
51122102424410
651235011200
710565055003
oct2270520760
9732167150
10316842480
11152938499
128a139b00
1350846c76
143011953a
151cc393c0
hex12e2a1f0

316842480 has 360 divisors, whose sum is σ = 1193950368. Its totient is φ = 75119616.

The previous prime is 316842469. The next prime is 316842509. The reversal of 316842480 is 84248613.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5978134 + ... + 5978186.

Almost surely, 2316842480 is an apocalyptic number.

316842480 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 316842480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596975184).

316842480 is an abundant number, since it is smaller than the sum of its proper divisors (877107888).

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

316842480 is a wasteful number, since it uses less digits than its factorization.

316842480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 316842480 is about 17800.0696627850. The cubic root of 316842480 is about 681.7332370297.

The spelling of 316842480 in words is "three hundred sixteen million, eight hundred forty-two thousand, four hundred eighty".