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2322661344 = 253127190507
BaseRepresentation
bin1000101001110000…
…1111111111100000
312222212111102101020
42022130033333200
514224100130334
61022250405440
7111362203263
oct21234177740
95885442336
102322661344
11a92099933
12549a30880
132b027aa33
1418068acda
15d8d9ae49
hex8a70ffe0

2322661344 has 48 divisors (see below), whose sum is σ = 6145026048. Its totient is φ = 768120192.

The previous prime is 2322661339. The next prime is 2322661379. The reversal of 2322661344 is 4431662232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83062 + ... + 107445.

It is an arithmetic number, because the mean of its divisors is an integer number (128021376).

Almost surely, 22322661344 is an apocalyptic number.

2322661344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2322661344 is an abundant number, since it is smaller than the sum of its proper divisors (3822364704).

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

2322661344 is a wasteful number, since it uses less digits than its factorization.

2322661344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190647 (or 190639 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 2322661344 is about 48193.9969705772. The cubic root of 2322661344 is about 1324.3271949600.

The spelling of 2322661344 in words is "two billion, three hundred twenty-two million, six hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 190507 381014 571521 762028 1143042 1524056 2286084 3048112 4572168 6096224 9144336 18288672 24194389 48388778 72583167 96777556 145166334 193555112 290332668 387110224 580665336 774220448 1161330672 2322661344