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23434264260 = 223251171891873
BaseRepresentation
bin10101110100110010…
…100111111011000100
32020111011200222011100
4111310302213323010
5340443132424020
614433205340100
71456502650101
oct256462477304
966434628140
1023434264260
119a36038650
124660107630
132296039674
1411c4451aa8
159224e0a90
hex574ca7ec4

23434264260 has 288 divisors, whose sum is σ = 79564343040. Its totient is φ = 5535129600.

The previous prime is 23434264229. The next prime is 23434264367. The reversal of 23434264260 is 6246243432.

23434264260 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 4 + 2 + 642 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12510684 + ... + 12512556.

It is an arithmetic number, because the mean of its divisors is an integer number (276265080).

Almost surely, 223434264260 is an apocalyptic number.

23434264260 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 23434264260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39782171520).

23434264260 is an abundant number, since it is smaller than the sum of its proper divisors (56130078780).

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

23434264260 is a wasteful number, since it uses less digits than its factorization.

23434264260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 23434264260 in words is "twenty-three billion, four hundred thirty-four million, two hundred sixty-four thousand, two hundred sixty".