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2320626976 = 25373974937
BaseRepresentation
bin1000101001010001…
…1111010100100000
312222201200001202021
42022110133110200
514223040030401
61022135031224
7111336001213
oct21224372440
95881601667
102320626976
11a90a2a438
1254920b514
132aca17a75
141802bb77a
15d8ae82a1
hex8a51f520

2320626976 has 48 divisors (see below), whose sum is σ = 4704985656. Its totient is φ = 1125881856.

The previous prime is 2320626961. The next prime is 2320626991. The reversal of 2320626976 is 6796260232.

It is an interprime number because it is at equal distance from previous prime (2320626961) and next prime (2320626991).

It can be written as a sum of positive squares in 4 ways, for example, as 2292111376 + 28515600 = 47876^2 + 5340^2 .

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 7 ways as a sum of consecutive naturals, for example, 467580 + ... + 472516.

Almost surely, 22320626976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320626976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352492828).

2320626976 is an abundant number, since it is smaller than the sum of its proper divisors (2384358680).

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

2320626976 is a wasteful number, since it uses less digits than its factorization.

2320626976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 2320626976 is about 48172.8863158520. The cubic root of 2320626976 is about 1323.9404323289.

The spelling of 2320626976 in words is "two billion, three hundred twenty million, six hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 397 592 794 1184 1588 3176 4937 6352 9874 12704 14689 19748 29378 39496 58756 78992 117512 157984 182669 235024 365338 470048 730676 1461352 1959989 2922704 3919978 5845408 7839956 15679912 31359824 62719648 72519593 145039186 290078372 580156744 1160313488 2320626976