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182340096 = 293176983
BaseRepresentation
bin10101101111001…
…00101000000000
3110201002211120220
422313210220000
5333134340341
630032103040
74342602531
oct1267445000
9421084526
10182340096
1193a208a4
1251094a80
132ba13063
141a306688
151101ba66
hexade4a00

182340096 has 80 divisors (see below), whose sum is σ = 514413504. Its totient is φ = 57196544.

The previous prime is 182340083. The next prime is 182340157. The reversal of 182340096 is 690043281.

182340096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22621 + ... + 29603.

Almost surely, 2182340096 is an apocalyptic number.

182340096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257206752).

182340096 is an abundant number, since it is smaller than the sum of its proper divisors (332073408).

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

182340096 is an equidigital number, since it uses as much as digits as its factorization.

182340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 182340096 is about 13503.3364765898. The cubic root of 182340096 is about 567.0578840961.

The spelling of 182340096 in words is "one hundred eighty-two million, three hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 6983 8704 13056 13966 20949 26112 27932 41898 55864 83796 111728 118711 167592 223456 237422 335184 356133 446912 474844 670368 712266 893824 949688 1340736 1424532 1787648 1899376 2681472 2849064 3575296 3798752 5362944 5698128 7597504 10725888 11396256 15195008 22792512 30390016 45585024 60780032 91170048 182340096