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149299344 = 24321397459
BaseRepresentation
bin10001110011000…
…10000010010000
3101101221012012100
420321202002100
5301210034334
622452000400
73462011025
oct1071420220
9341835170
10149299344
1177303897
1242000100
1324c1500c
1415b8554c
15d191c99
hex8e62090

149299344 has 60 divisors (see below), whose sum is σ = 420893200. Its totient is φ = 49401792.

The previous prime is 149299343. The next prime is 149299349. The reversal of 149299344 is 443992941.

149299344 is a `hidden beast` number, since 14 + 9 + 299 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 149299344.

It is not an unprimeable number, because it can be changed into a prime (149299343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16287 + ... + 23745.

Almost surely, 2149299344 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 149299344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210446600).

149299344 is an abundant number, since it is smaller than the sum of its proper divisors (271593856).

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

149299344 is a wasteful number, since it uses less digits than its factorization.

149299344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7603 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 149299344 is about 12218.8110714586. The cubic root of 149299344 is about 530.5007063612.

The spelling of 149299344 in words is "one hundred forty-nine million, two hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 7459 10008 14918 20016 22377 29836 44754 59672 67131 89508 119344 134262 179016 268524 358032 537048 1036801 1074096 2073602 3110403 4147204 6220806 8294408 9331209 12441612 16588816 18662418 24883224 37324836 49766448 74649672 149299344