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399452040 = 2333513231237
BaseRepresentation
bin10111110011110…
…010011110001000
31000211122021012000
4113303302132020
51304224431130
6103345351000
712620200131
oct2763623610
91024567160
10399452040
11195531259
12b1938460
13649ac070
143b0a0c88
1525106260
hex17cf2788

399452040 has 256 divisors, whose sum is σ = 1497484800. Its totient is φ = 93975552.

The previous prime is 399452033. The next prime is 399452047. The reversal of 399452040 is 40254993.

399452040 is a `hidden beast` number, since 3 + 9 + 94 + 520 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (399452033) and next prime (399452047).

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 = 399451986 and 399452004.

It is not an unprimeable number, because it can be changed into a prime (399452047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322302 + ... + 323538.

It is an arithmetic number, because the mean of its divisors is an integer number (5849550).

Almost surely, 2399452040 is an apocalyptic number.

399452040 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 399452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748742400).

399452040 is an abundant number, since it is smaller than the sum of its proper divisors (1098032760).

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

399452040 is a wasteful number, since it uses less digits than its factorization.

399452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 399452040 is about 19986.2963052187. The cubic root of 399452040 is about 736.4696956600.

The spelling of 399452040 in words is "three hundred ninety-nine million, four hundred fifty-two thousand, forty".