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23434137340 = 2257316050779
BaseRepresentation
bin10101110100110010…
…001000111011111100
32020111011110112001121
4111310302020323330
5340443114343330
614433202520324
71456501611055
oct256462107374
966434415047
1023434137340
119a35a61259
1246600660a4
132295cc3973
1411c441b72c
159224b817a
hex574c88efc

23434137340 has 24 divisors (see below), whose sum is σ = 49885824240. Its totient is φ = 9245248128.

The previous prime is 23434137323. The next prime is 23434137341. The reversal of 23434137340 is 4373143432.

It is a junction number, because it is equal to n+sod(n) for n = 23434137296 and 23434137305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434137341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8023930 + ... + 8026849.

It is an arithmetic number, because the mean of its divisors is an integer number (2078576010).

Almost surely, 223434137340 is an apocalyptic number.

23434137340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23434137340 is an abundant number, since it is smaller than the sum of its proper divisors (26451686900).

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

23434137340 is a wasteful number, since it uses less digits than its factorization.

23434137340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16050861 (or 16050859 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 34.

The spelling of 23434137340 in words is "twenty-three billion, four hundred thirty-four million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 16050779 32101558 64203116 80253895 160507790 321015580 1171706867 2343413734 4686827468 5858534335 11717068670 23434137340