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23478840 = 2332572113
BaseRepresentation
bin101100110010…
…0001000111000
31122011211220200
41121210020320
522002310330
62155122200
7403365300
oct131441070
948154820
1023478840
1112287000
127a43360
134b30a08
143192600
1520dba60
hex1664238

23478840 has 288 divisors, whose sum is σ = 97634160. Its totient is φ = 4878720.

The previous prime is 23478827. The next prime is 23478857. The reversal of 23478840 is 4887432.

23478840 = 223 + 233 + ... + 983.

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 = 23478795 and 23478804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2134435 + ... + 2134445.

Almost surely, 223478840 is an apocalyptic number.

23478840 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 23478840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48817080).

23478840 is an abundant number, since it is smaller than the sum of its proper divisors (74155320).

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

23478840 is a wasteful number, since it uses less digits than its factorization.

23478840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 23478840 is about 4845.4968785461. The cubic root of 23478840 is about 286.3467195394.

The spelling of 23478840 in words is "twenty-three million, four hundred seventy-eight thousand, eight hundred forty".