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316428480 = 263251723281
BaseRepresentation
bin10010110111000…
…101000011000000
3211001102020021100
4102313011003000
51122001202410
651222054400
710561412004
oct2267050300
9731366240
10316428480
11152685445
1289b7a400
13507306b4
143004c704
151cba68c0
hex12dc50c0

316428480 has 336 divisors, whose sum is σ = 1206788544. Its totient is φ = 75694080.

The previous prime is 316428479. The next prime is 316428481. The reversal of 316428480 is 84824613.

316428480 = T151 + T152 + ... + T1238.

316428480 is a `hidden beast` number, since 3 + 1 + 642 + 8 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (316428479) and next prime (316428481).

It is a super-2 number, since 2×3164284802 = 200253965910220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (316428481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125940 + ... + 1126220.

Almost surely, 2316428480 is an apocalyptic number.

316428480 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 316428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603394272).

316428480 is an abundant number, since it is smaller than the sum of its proper divisors (890360064).

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

316428480 is a wasteful number, since it uses less digits than its factorization.

316428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

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

The square root of 316428480 is about 17788.4366935377. The cubic root of 316428480 is about 681.4361802952.

The spelling of 316428480 in words is "three hundred sixteen million, four hundred twenty-eight thousand, four hundred eighty".