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394814952 = 233373732
BaseRepresentation
bin10111100010000…
…110010111101000
31000111220200022000
4113202012113220
51302033034302
6103102131000
712532605000
oct2742062750
91014820260
10394814952
11192954354
12b0280a60
1363a4751c
143a615000
15249dc31c
hex178865e8

394814952 has 192 divisors, whose sum is σ = 1296720000. Its totient is φ = 111259008.

The previous prime is 394814939. The next prime is 394814983. The reversal of 394814952 is 259418493.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a junction number, because it is equal to n+sod(n) for n = 394814898 and 394814907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5408388 + ... + 5408460.

It is an arithmetic number, because the mean of its divisors is an integer number (6753750).

Almost surely, 2394814952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394814952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648360000).

394814952 is an abundant number, since it is smaller than the sum of its proper divisors (901905048).

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

394814952 is an equidigital number, since it uses as much as digits as its factorization.

394814952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 85 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 394814952 is about 19869.9509813185. The cubic root of 394814952 is about 733.6087969732.

The spelling of 394814952 in words is "three hundred ninety-four million, eight hundred fourteen thousand, nine hundred fifty-two".