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390813396 = 2232910910303
BaseRepresentation
bin10111010010110…
…101011011010100
31000020101101012020
4113102311123110
51300022012041
6102440253140
712453600441
oct2722653324
91006341166
10390813396
11190670986
12aaa711b0
1362c7603c
1439c929c8
152449b866
hex174b56d4

390813396 has 48 divisors (see below), whose sum is σ = 952089600. Its totient is φ = 124612992.

The previous prime is 390813389. The next prime is 390813403. The reversal of 390813396 is 693318093.

It is an interprime number because it is at equal distance from previous prime (390813389) and next prime (390813403).

It is a super-2 number, since 2×3908133962 = 305470220986105632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32781 + ... + 43083.

It is an arithmetic number, because the mean of its divisors is an integer number (19835200).

Almost surely, 2390813396 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 390813396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476044800).

390813396 is an abundant number, since it is smaller than the sum of its proper divisors (561276204).

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

390813396 is a wasteful number, since it uses less digits than its factorization.

390813396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10448 (or 10446 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 390813396 is about 19769.0008852243. Note that the first 3 decimals coincide. The cubic root of 390813396 is about 731.1219352911.

The spelling of 390813396 in words is "three hundred ninety million, eight hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 1308 3161 6322 9483 10303 12644 18966 20606 30909 37932 41212 61818 123636 298787 597574 896361 1123027 1195148 1792722 2246054 3369081 3585444 4492108 6738162 13476324 32567783 65135566 97703349 130271132 195406698 390813396