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384912090 = 23257016101
BaseRepresentation
bin10110111100010…
…100101011011010
3222211021120010100
4112330110223122
51242014141330
6102110000230
712352461453
oct2674245332
9884246110
10384912090
11188300172
12a8aa6076
136198ac44
143919812a
1523bd3060
hex16f14ada

384912090 has 48 divisors (see below), whose sum is σ = 1002363336. Its totient is φ = 102480000.

The previous prime is 384912071. The next prime is 384912097. The reversal of 384912090 is 90219483.

384912090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 370601001 + 14311089 = 19251^2 + 3783^2 .

It is not an unprimeable number, because it can be changed into a prime (384912097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60040 + ... + 66140.

Almost surely, 2384912090 is an apocalyptic number.

384912090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

384912090 is an abundant number, since it is smaller than the sum of its proper divisors (617451246).

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

384912090 is a wasteful number, since it uses less digits than its factorization.

384912090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 384912090 is about 19619.1765882261. The cubic root of 384912090 is about 727.4232604073.

The spelling of 384912090 in words is "three hundred eighty-four million, nine hundred twelve thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 701 1402 2103 3505 4206 6101 6309 7010 10515 12202 12618 18303 21030 30505 31545 36606 54909 61010 63090 91515 109818 183030 274545 549090 4276801 8553602 12830403 21384005 25660806 38491209 42768010 64152015 76982418 128304030 192456045 384912090