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23434045080 = 233517291273119
BaseRepresentation
bin10101110100110001…
…110010011010011000
32020111011021211111120
4111310301302122120
5340443103420310
614433200525240
71456501045065
oct256461623230
966434254446
1023434045080
119a359a8a06
124660020820
132295c90984
1411c43d5c6c
1592249ab70
hex574c72698

23434045080 has 256 divisors, whose sum is σ = 77635584000. Its totient is φ = 5632155648.

The previous prime is 23434045073. The next prime is 23434045093. The reversal of 23434045080 is 8054043432.

It is a super-2 number, since 2×234340450802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7511761 + ... + 7514879.

It is an arithmetic number, because the mean of its divisors is an integer number (303264000).

Almost surely, 223434045080 is an apocalyptic number.

23434045080 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 23434045080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38817792000).

23434045080 is an abundant number, since it is smaller than the sum of its proper divisors (54201538920).

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

23434045080 is a wasteful number, since it uses less digits than its factorization.

23434045080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 23434045080 in words is "twenty-three billion, four hundred thirty-four million, forty-five thousand, eighty".