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2345156920 = 235294094943
BaseRepresentation
bin1000101111001000…
…0100000100111000
320001102211022111201
42023302010010320
514300330010140
61024412503544
7112054335121
oct21362040470
96042738451
102345156920
11aa3864117
1255547abb4
132b4b26022
14183665048
15dad4149a
hex8bc84138

2345156920 has 64 divisors (see below), whose sum is σ = 5473008000. Its totient is φ = 903318528.

The previous prime is 2345156893. The next prime is 2345156921. The reversal of 2345156920 is 296515432.

It is a self number, because there is not a number n which added to its sum of digits gives 2345156920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345156921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471969 + ... + 476911.

It is an arithmetic number, because the mean of its divisors is an integer number (85515750).

Almost surely, 22345156920 is an apocalyptic number.

2345156920 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 2345156920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736504000).

2345156920 is an abundant number, since it is smaller than the sum of its proper divisors (3127851080).

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

2345156920 is a wasteful number, since it uses less digits than its factorization.

2345156920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 2345156920 is about 48426.8202548959. The cubic root of 2345156920 is about 1328.5889495292.

The spelling of 2345156920 in words is "two billion, three hundred forty-five million, one hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 409 580 818 1160 1636 2045 3272 4090 4943 8180 9886 11861 16360 19772 23722 24715 39544 47444 49430 59305 94888 98860 118610 143347 197720 237220 286694 474440 573388 716735 1146776 1433470 2021687 2866940 4043374 5733880 8086748 10108435 16173496 20216870 40433740 58628923 80867480 117257846 234515692 293144615 469031384 586289230 1172578460 2345156920