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149056344 = 233212716301
BaseRepresentation
bin10001110001001…
…10101101011000
3101101110211212100
420320212231120
5301124300334
622442443400
73456646413
oct1070465530
9341424770
10149056344
1177158268
1241b03560
1324b5b528
1415b20b7a
15d144c99
hex8e26b58

149056344 has 48 divisors (see below), whose sum is σ = 406897920. Its totient is φ = 49291200.

The previous prime is 149056337. The next prime is 149056363. The reversal of 149056344 is 443650941.

149056344 is a `hidden beast` number, since 1 + 4 + 90 + 563 + 4 + 4 = 666.

It is a super-3 number, since 3×1490563443 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 149056299 and 149056308.

It is a congruent number.

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, 994 + ... + 17294.

It is an arithmetic number, because the mean of its divisors is an integer number (8477040).

Almost surely, 2149056344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149056344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203448960).

149056344 is an abundant number, since it is smaller than the sum of its proper divisors (257841576).

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

149056344 is a wasteful number, since it uses less digits than its factorization.

149056344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440 (or 16433 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 149056344 is about 12208.8633377559. The cubic root of 149056344 is about 530.2127352947.

The spelling of 149056344 in words is "one hundred forty-nine million, fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 16301 32602 48903 65204 97806 130408 146709 195612 293418 391224 586836 1173672 2070227 4140454 6210681 8280908 12421362 16561816 18632043 24842724 37264086 49685448 74528172 149056344