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2315464704 = 212347997
BaseRepresentation
bin1000101000000011…
…0011000000000000
312222100221210110000
42022000303000000
514220224332304
61021432240000
7111244060650
oct21200630000
95870853400
102315464704
11a890239a3
12547540000
132ab92b177
1417d736360
15d8428939
hex8a033000

2315464704 has 260 divisors, whose sum is σ = 7913030224. Its totient is φ = 660897792.

The previous prime is 2315464691. The next prime is 2315464721. The reversal of 2315464704 is 4074645132.

2315464704 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 4 + 647 + 0 + 4 = 666.

It is a super-2 number, since 2×23154647042 = 10722753590939615232, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2321934 + ... + 2322930.

Almost surely, 22315464704 is an apocalyptic number.

2315464704 is a gapful number since it is divisible by the number (24) 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 2315464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956515112).

2315464704 is an abundant number, since it is smaller than the sum of its proper divisors (5597565520).

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

2315464704 is an frugal number, since it uses more digits than its factorization.

2315464704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2315464704 is about 48119.2758050243. The cubic root of 2315464704 is about 1322.9579945631.

The spelling of 2315464704 in words is "two billion, three hundred fifteen million, four hundred sixty-four thousand, seven hundred four".