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23432640 = 2635711317
BaseRepresentation
bin101100101100…
…0110111000000
31122002111112120
41121120313000
521444321030
62154124240
7403113510
oct131306700
948074476
1023432640
1112255320
127a20680
134b1598a
14317d840
1520cd010
hex1658dc0

23432640 has 224 divisors, whose sum is σ = 93049344. Its totient is φ = 4853760.

The previous prime is 23432639. The next prime is 23432657. The reversal of 23432640 is 4623432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23432640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73762 + ... + 74078.

Almost surely, 223432640 is an apocalyptic number.

23432640 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 23432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46524672).

23432640 is an abundant number, since it is smaller than the sum of its proper divisors (69616704).

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

23432640 is a wasteful number, since it uses less digits than its factorization.

23432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 23432640 is about 4840.7272180944. The cubic root of 23432640 is about 286.1587786088.

The spelling of 23432640 in words is "twenty-three million, four hundred thirty-two thousand, six hundred forty".