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149344 = 2513359
BaseRepresentation
bin100100011101100000
321120212021
4210131200
514234334
63111224
71161256
oct443540
9246767
10149344
11a2228
1272514
1352c90
143c5d6
152e3b4
hex24760

149344 has 24 divisors (see below), whose sum is σ = 317520. Its totient is φ = 68736.

The previous prime is 149341. The next prime is 149351. The reversal of 149344 is 443941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2149344 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 149344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

149344 is an abundant number, since it is smaller than the sum of its proper divisors (168176).

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

149344 is a wasteful number, since it uses less digits than its factorization.

149344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 149344 is about 386.4505142965. The cubic root of 149344 is about 53.0553592680.

It can be divided in two parts, 14 and 9344, that multiplied together give a triangular number (130816 = T511).

The spelling of 149344 in words is "one hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 359 416 718 1436 2872 4667 5744 9334 11488 18668 37336 74672 149344