Search a number
-
+
153541344 = 25311145399
BaseRepresentation
bin10010010011011…
…01101011100000
3101200220201010110
421021231223200
5303301310334
623122531320
73543036255
oct1111555340
9350821113
10153541344
1179740980
1243506b40
1325a6ba88
141656b42c
15d72dae9
hex926dae0

153541344 has 48 divisors (see below), whose sum is σ = 439689600. Its totient is φ = 46527360.

The previous prime is 153541321. The next prime is 153541363. The reversal of 153541344 is 443145351.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 71644 + ... + 73755.

It is an arithmetic number, because the mean of its divisors is an integer number (9160200).

Almost surely, 2153541344 is an apocalyptic number.

It is an amenable number.

153541344 is an abundant number, since it is smaller than the sum of its proper divisors (286148256).

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

153541344 is a wasteful number, since it uses less digits than its factorization.

153541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145423 (or 145415 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 153541344 is about 12391.1800890795. The cubic root of 153541344 is about 535.4781807976.

Adding to 153541344 its reverse (443145351), we get a palindrome (596686695).

The spelling of 153541344 in words is "one hundred fifty-three million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 145399 290798 436197 581596 872394 1163192 1599389 1744788 2326384 3198778 3489576 4652768 4798167 6397556 6979152 9596334 12795112 13958304 19192668 25590224 38385336 51180448 76770672 153541344