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390350916 = 223234931069
BaseRepresentation
bin10111010001000…
…100100001000100
31000012111212210100
4113101010201010
51244412212131
6102422324100
712446633214
oct2721044104
91005455710
10390350916
1119038546a
12aa889630
1362b43697
1439bb2244
15244097e6
hex17444844

390350916 has 36 divisors (see below), whose sum is σ = 989579500. Its totient is φ = 129739968.

The previous prime is 390350887. The next prime is 390350927. The reversal of 390350916 is 619053093.

It can be written as a sum of positive squares in 2 ways, for example, as 254721600 + 135629316 = 15960^2 + 11646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2971 + ... + 28098.

Almost surely, 2390350916 is an apocalyptic number.

390350916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

390350916 is an abundant number, since it is smaller than the sum of its proper divisors (599228584).

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

390350916 is a wasteful number, since it uses less digits than its factorization.

390350916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31428 (or 31423 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 390350916 is about 19757.3003216533. The cubic root of 390350916 is about 730.8334235681.

The spelling of 390350916 in words is "three hundred ninety million, three hundred fifty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 349 698 1047 1396 2094 3141 4188 6282 12564 31069 62138 93207 124276 186414 279621 372828 559242 1118484 10843081 21686162 32529243 43372324 65058486 97587729 130116972 195175458 390350916