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2348097696 = 253271164731
BaseRepresentation
bin1000101111110101…
…0010000010100000
320001122100201111100
42023331102002200
514302103111241
61024555514400
7112121333610
oct21375220240
96048321440
102348097696
11aa549260a
12556458a00
132b5615729
14183bcca40
15db2229b6
hex8bf520a0

2348097696 has 72 divisors (see below), whose sum is σ = 7631324064. Its totient is φ = 670884480.

The previous prime is 2348097677. The next prime is 2348097701. The reversal of 2348097696 is 6967908432.

It is a happy number.

2348097696 is a `hidden beast` number, since 2 + 3 + 480 + 9 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 580350 + ... + 584381.

It is an arithmetic number, because the mean of its divisors is an integer number (105990612).

Almost surely, 22348097696 is an apocalyptic number.

It is an amenable number.

2348097696 is an abundant number, since it is smaller than the sum of its proper divisors (5283226368).

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

2348097696 is a wasteful number, since it uses less digits than its factorization.

2348097696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164754 (or 1164743 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2348097696 is about 48457.1738342219. The cubic root of 2348097696 is about 1329.1440581543.

The spelling of 2348097696 in words is "two billion, three hundred forty-eight million, ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1164731 2329462 3494193 4658924 6988386 8153117 9317848 10482579 13976772 16306234 18635696 20965158 24459351 27953544 32612468 37271392 41930316 48918702 55907088 65224936 73378053 83860632 97837404 111814176 130449872 146756106 167721264 195674808 260899744 293512212 335442528 391349616 587024424 782699232 1174048848 2348097696