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30438140382 = 23213177651619
BaseRepresentation
bin11100010110010000…
…010010100111011110
32220120021201201222200
4130112100102213132
5444314130443012
621552202552330
72125166632026
oct342620224736
986507651880
1030438140382
11119aa59a421
125a958086a6
132b4109b970
14168a6daa86
15bd23233dc
hex7164129de

30438140382 has 48 divisors (see below), whose sum is σ = 75200121360. Its totient is φ = 8814663936.

The previous prime is 30438140357. The next prime is 30438140417. The reversal of 30438140382 is 28304183403.

It is a happy number.

30438140382 is a `hidden beast` number, since 3 + 0 + 438 + 140 + 3 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3821832 + ... + 3829787.

It is an arithmetic number, because the mean of its divisors is an integer number (1566669195).

Almost surely, 230438140382 is an apocalyptic number.

30438140382 is an abundant number, since it is smaller than the sum of its proper divisors (44761980978).

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

30438140382 is a wasteful number, since it uses less digits than its factorization.

30438140382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651657 (or 7651654 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 30438 and 140382, that added together give a triangular number (170820 = T584).

The spelling of 30438140382 in words is "thirty billion, four hundred thirty-eight million, one hundred forty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 7651619 15303238 22954857 45909714 68864571 99471047 130077523 137729142 198942094 260155046 298413141 390232569 596826282 780465138 895239423 1170697707 1691007799 1790478846 2341395414 3382015598 5073023397 10146046794 15219070191 30438140382