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372479040 = 26335192269
BaseRepresentation
bin10110001100111…
…001010001000000
3221221212220012000
4112030321101000
51230323312130
6100543304000
712142006503
oct2614712100
9857786160
10372479040
1118128901a
12a48ab000
135c226acb
143767d13a
1522a79260
hex16339440

372479040 has 224 divisors, whose sum is σ = 1383792000. Its totient is φ = 94058496.

The previous prime is 372479039. The next prime is 372479113. The reversal of 372479040 is 40974273.

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 = 372478986 and 372479004.

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, 163026 + ... + 165294.

Almost surely, 2372479040 is an apocalyptic number.

372479040 is a gapful number since it is divisible by the number (30) 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 372479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691896000).

372479040 is an abundant number, since it is smaller than the sum of its proper divisors (1011312960).

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

372479040 is a wasteful number, since it uses less digits than its factorization.

372479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 372479040 is about 19299.7160600875. The cubic root of 372479040 is about 719.5052156174.

The spelling of 372479040 in words is "three hundred seventy-two million, four hundred seventy-nine thousand, forty".