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23274240 = 2835111929
BaseRepresentation
bin101100011001…
…0001100000000
31121210110020220
41120302030000
521424233430
62150503040
7401553633
oct130621400
947713226
1023274240
1112157310
127964a80
134a8b852
14313bc1a
15209b110
hex1632300

23274240 has 288 divisors, whose sum is σ = 88300800. Its totient is φ = 5160960.

The previous prime is 23274239. The next prime is 23274263. The reversal of 23274240 is 4247232.

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 23274240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802546 + ... + 802574.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 223274240 is an apocalyptic number.

23274240 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 23274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

23274240 is an abundant number, since it is smaller than the sum of its proper divisors (65026560).

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

23274240 is a wasteful number, since it uses less digits than its factorization.

23274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 23274240 is about 4824.3382965957. The cubic root of 23274240 is about 285.5125280382.

The spelling of 23274240 in words is "twenty-three million, two hundred seventy-four thousand, two hundred forty".