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2312320 = 2753613
BaseRepresentation
bin1000110100100010000000
311100110220111
420310202000
51042443240
6121321104
725440313
oct10644200
94313814
102312320
11133a30a
12936194
1362c64a
1444297a
1530a1ea
hex234880

2312320 has 32 divisors (see below), whose sum is σ = 5529420. Its totient is φ = 924672.

The previous prime is 2312311. The next prime is 2312341. The reversal of 2312320 is 232132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 440896 = 1368^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2312320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1167 + ... + 2446.

22312320 is an apocalyptic number.

2312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312320 is an abundant number, since it is smaller than the sum of its proper divisors (3217100).

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

2312320 is an equidigital number, since it uses as much as digits as its factorization.

2312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2312320 is about 1520.6314477874. The cubic root of 2312320 is about 132.2358806543.

Adding to 2312320 its reverse (232132), we get a palindrome (2544452).

The spelling of 2312320 in words is "two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3613 7226 14452 18065 28904 36130 57808 72260 115616 144520 231232 289040 462464 578080 1156160 2312320