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23334696 = 23337112361
BaseRepresentation
bin101100100000…
…0111100101000
31121220112012000
41121000330220
521433202241
62152051000
7402225120
oct131007450
947815160
1023334696
1112198780
127993a60
134ab0218
143155c80
1520adeb6
hex1640f28

23334696 has 256 divisors, whose sum is σ = 85708800. Its totient is φ = 5702400.

The previous prime is 23334683. The next prime is 23334697. The reversal of 23334696 is 69643332.

23334696 is a nontrivial binomial coefficient, being equal to C(6832, 2).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23334696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23334697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382506 + ... + 382566.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 223334696 is an apocalyptic number.

23334696 is the 6831-st triangular number and also the 3416-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23334696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854400).

23334696 is an abundant number, since it is smaller than the sum of its proper divisors (62374104).

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

23334696 is a wasteful number, since it uses less digits than its factorization.

23334696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 23334696 is about 4830.5999627375. The cubic root of 23334696 is about 285.7595253126.

The spelling of 23334696 in words is "twenty-three million, three hundred thirty-four thousand, six hundred ninety-six".