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2312056320 = 29357291483
BaseRepresentation
bin1000100111001111…
…0010111000000000
312222010112122000120
42021303302320000
514213341300240
61021231220240
7111203103660
oct21163627000
95863478016
102312056320
11a87106152
12546377680
132ab006982
1417d0ca1a0
15d7ea3ad0
hex89cf2e00

2312056320 has 320 divisors, whose sum is σ = 8744440320. Its totient is φ = 509902848.

The previous prime is 2312056273. The next prime is 2312056399. The reversal of 2312056320 is 236502132.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×23120563203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1558299 + ... + 1559781.

It is an arithmetic number, because the mean of its divisors is an integer number (27326376).

Almost surely, 22312056320 is an apocalyptic number.

2312056320 is a gapful number since it is divisible by the number (20) 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 2312056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372220160).

2312056320 is an abundant number, since it is smaller than the sum of its proper divisors (6432384000).

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

2312056320 is a wasteful number, since it uses less digits than its factorization.

2312056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2312056320 is about 48083.8467679116. The cubic root of 2312056320 is about 1322.3085406016.

Adding to 2312056320 its reverse (236502132), we get a palindrome (2548558452).

The spelling of 2312056320 in words is "two billion, three hundred twelve million, fifty-six thousand, three hundred twenty".