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23343400080 = 24325731113661
BaseRepresentation
bin10101101111011000…
…000000010010010000
32020020211201120221100
4111233120000102100
5340301402300310
614420202024400
71454320425000
oct255730002220
966224646840
1023343400080
119999816a90
1246357a8100
132280274290
1411b635c000
15919542ec0
hex56f600490

23343400080 has 960 divisors, whose sum is σ = 107568115200. Its totient is φ = 4470681600.

The previous prime is 23343400079. The next prime is 23343400109. The reversal of 23343400080 is 8000434332.

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 191 ways as a sum of consecutive naturals, for example, 35314950 + ... + 35315610.

It is an arithmetic number, because the mean of its divisors is an integer number (112050120).

Almost surely, 223343400080 is an apocalyptic number.

23343400080 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 23343400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53784057600).

23343400080 is an abundant number, since it is smaller than the sum of its proper divisors (84224715120).

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

23343400080 is a wasteful number, since it uses less digits than its factorization.

23343400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 23343400080 in words is "twenty-three billion, three hundred forty-three million, four hundred thousand, eighty".