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399383040 = 29357171923
BaseRepresentation
bin10111110011100…
…001101000000000
31000211111202112110
4113303201220000
51304220224130
6103344055320
712616462020
oct2763415000
91024452473
10399383040
11195494431
12b1904540
1364986834
143b083a80
15250e0ab0
hex17ce1a00

399383040 has 640 divisors, whose sum is σ = 1697034240. Its totient is φ = 77856768.

The previous prime is 399383029. The next prime is 399383051. The reversal of 399383040 is 40383993.

It is an interprime number because it is at equal distance from previous prime (399383029) and next prime (399383051).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 399383040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17364469 + ... + 17364491.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2399383040 is an apocalyptic number.

399383040 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 399383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

399383040 is an abundant number, since it is smaller than the sum of its proper divisors (1297651200).

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

399383040 is a wasteful number, since it uses less digits than its factorization.

399383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 399383040 is about 19984.5700479145. The cubic root of 399383040 is about 736.4272881198.

The spelling of 399383040 in words is "three hundred ninety-nine million, three hundred eighty-three thousand, forty".