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23379840 = 273451141
BaseRepresentation
bin101100100101…
…1111110000000
31121222211010000
41121023332000
521441123330
62153040000
7402503541
oct131137600
947884100
1023379840
1112219690
1279b6000
134ac7933
1431684c8
1520bc560
hex164bf80

23379840 has 320 divisors, whose sum is σ = 93305520. Its totient is φ = 5529600.

The previous prime is 23379809. The next prime is 23379847. The reversal of 23379840 is 4897332.

23379840 = T69 + T70 + ... + T519.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 23379795 and 23379804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23379847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570220 + ... + 570260.

Almost surely, 223379840 is an apocalyptic number.

23379840 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 23379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46652760).

23379840 is an abundant number, since it is smaller than the sum of its proper divisors (69925680).

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

23379840 is a wasteful number, since it uses less digits than its factorization.

23379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

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

The square root of 23379840 is about 4835.2704164297. The cubic root of 23379840 is about 285.9436862408.

The spelling of 23379840 in words is "twenty-three million, three hundred seventy-nine thousand, eight hundred forty".