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384960690 = 23254277341
BaseRepresentation
bin10110111100100…
…000100010110010
3222211101000210100
4112330200202302
51242022220230
6102111013230
712353053242
oct2674404262
9884330710
10384960690
11188333734
12a8b0a216
13619a70ba
14391abb22
1523be2660
hex16f208b2

384960690 has 24 divisors (see below), whose sum is σ = 1000898028. Its totient is φ = 102656160.

The previous prime is 384960673. The next prime is 384960707. The reversal of 384960690 is 96069483.

384960690 is a `hidden beast` number, since 38 + 4 + 9 + 606 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (384960673) and next prime (384960707).

It can be written as a sum of positive squares in 2 ways, for example, as 375468129 + 9492561 = 19377^2 + 3081^2 .

It is a super-2 number, since 2×3849606902 = 296389465690552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2138581 + ... + 2138760.

Almost surely, 2384960690 is an apocalyptic number.

384960690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

384960690 is an abundant number, since it is smaller than the sum of its proper divisors (615937338).

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

384960690 is a wasteful number, since it uses less digits than its factorization.

384960690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277354 (or 4277351 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 384960690 is about 19620.4151332228. The cubic root of 384960690 is about 727.4538745688.

The spelling of 384960690 in words is "three hundred eighty-four million, nine hundred sixty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4277341 8554682 12832023 21386705 25664046 38496069 42773410 64160115 76992138 128320230 192480345 384960690