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146355084 = 22327951461
BaseRepresentation
bin10001011100100…
…11001110001100
3101012101121102200
420232103032030
5244431330314
622304521500
73424666131
oct1056231614
9335347380
10146355084
1175682817
1241020290
1324423b55
141561a588
15ccae709
hex8b9338c

146355084 has 36 divisors (see below), whose sum is σ = 374643360. Its totient is φ = 48166560.

The previous prime is 146355067. The next prime is 146355113. The reversal of 146355084 is 480553641.

It is a happy number.

146355084 is a `hidden beast` number, since 14 + 635 + 5 + 0 + 8 + 4 = 666.

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

It is a super-2 number, since 2×1463550842 = 42839621225294112, which contains 22 as substring.

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

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, 22887 + ... + 28574.

It is an arithmetic number, because the mean of its divisors is an integer number (10406760).

Almost surely, 2146355084 is an apocalyptic number.

It is an amenable number.

146355084 is an abundant number, since it is smaller than the sum of its proper divisors (228288276).

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

146355084 is a wasteful number, since it uses less digits than its factorization.

146355084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51550 (or 51545 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 146355084 is about 12097.7305309715. The cubic root of 146355084 is about 526.9902793138.

The spelling of 146355084 in words is "one hundred forty-six million, three hundred fifty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 51461 102922 154383 205844 308766 463149 617532 926298 1852596 4065419 8130838 12196257 16261676 24392514 36588771 48785028 73177542 146355084