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399803040 = 25355713113
BaseRepresentation
bin10111110101001…
…000001010100000
31000212022002200000
4113311020022200
51304322144130
6103401100000
712623161350
oct2765101240
91025262600
10399803040
11195750a3a
12b1a87600
1364aa2a60
143b152b60
1525175260
hex17d482a0

399803040 has 576 divisors, whose sum is σ = 1756774656. Its totient is φ = 83607552.

The previous prime is 399803021. The next prime is 399803081. The reversal of 399803040 is 40308993.

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 = 399802986 and 399803004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538024 + ... + 3538136.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2399803040 is an apocalyptic number.

399803040 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 399803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

399803040 is an abundant number, since it is smaller than the sum of its proper divisors (1356971616).

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

399803040 is a wasteful number, since it uses less digits than its factorization.

399803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 399803040 is about 19995.0753937063. The cubic root of 399803040 is about 736.6853453993.

The spelling of 399803040 in words is "three hundred ninety-nine million, eight hundred three thousand, forty".