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23714964 = 223371319127
BaseRepresentation
bin101101001110…
…1110010010100
31122121211211000
41122131302110
522032334324
62204143300
7405400560
oct132356224
948554730
1023714964
1112428449
127b37b30
134bb4330
1432146a0
1521369c9
hex169dc94

23714964 has 192 divisors, whose sum is σ = 80281600. Its totient is φ = 5878656.

The previous prime is 23714963. The next prime is 23714987. The reversal of 23714964 is 46941732.

23714964 = T209 + T210 + ... + T532.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (23714963) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 186669 + ... + 186795.

Almost surely, 223714964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23714964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40140800).

23714964 is an abundant number, since it is smaller than the sum of its proper divisors (56566636).

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

23714964 is a wasteful number, since it uses less digits than its factorization.

23714964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 23714964 is about 4869.8012279764. The cubic root of 23714964 is about 287.3034381694.

The spelling of 23714964 in words is "twenty-three million, seven hundred fourteen thousand, nine hundred sixty-four".