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134735232 = 2731959313
BaseRepresentation
bin10000000011111…
…10010110000000
3100101112020222210
420001332112000
5233443011412
621211502120
73224142042
oct1001762600
9311466883
10134735232
116a066635
1239157940
1321bb5bb8
1413c73a92
15bc6683c
hex807e580

134735232 has 128 divisors (see below), whose sum is σ = 384336000. Its totient is φ = 41693184.

The previous prime is 134735221. The next prime is 134735233. The reversal of 134735232 is 232537431.

134735232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 134735232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134735233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430308 + ... + 430620.

It is an arithmetic number, because the mean of its divisors is an integer number (3002625).

Almost surely, 2134735232 is an apocalyptic number.

134735232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192168000).

134735232 is an abundant number, since it is smaller than the sum of its proper divisors (249600768).

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

134735232 is a wasteful number, since it uses less digits than its factorization.

134735232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 134735232 is about 11607.5506460235. The cubic root of 134735232 is about 512.6571964350.

The spelling of 134735232 in words is "one hundred thirty-four million, seven hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 128 152 177 192 228 236 304 313 354 384 456 472 608 626 708 912 939 944 1121 1216 1252 1416 1824 1878 1888 2242 2432 2504 2832 3363 3648 3756 3776 4484 5008 5664 5947 6726 7296 7512 7552 8968 10016 11328 11894 13452 15024 17841 17936 18467 20032 22656 23788 26904 30048 35682 35872 36934 40064 47576 53808 55401 60096 71364 71744 73868 95152 107616 110802 120192 142728 143488 147736 190304 215232 221604 285456 295472 350873 380608 430464 443208 570912 590944 701746 761216 886416 1052619 1141824 1181888 1403492 1772832 2105238 2283648 2363776 2806984 3545664 4210476 5613968 7091328 8420952 11227936 16841904 22455872 33683808 44911744 67367616 134735232