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134348292 = 2232132571117
BaseRepresentation
bin10000000000111…
…11111000000100
3100100210121012200
420000133320010
5233343121132
621155314500
73220640661
oct1000377004
9310717180
10134348292
1169921951
1238baba30
1321aaba40
1413bb2a68
15bbdbd7c
hex801fe04

134348292 has 72 divisors (see below), whose sum is σ = 367477656. Its totient is φ = 41140224.

The previous prime is 134348273. The next prime is 134348293. The reversal of 134348292 is 292843431.

It can be written as a sum of positive squares in 4 ways, for example, as 7650756 + 126697536 = 2766^2 + 11256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134348293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119718 + ... + 120834.

Almost surely, 2134348292 is an apocalyptic number.

134348292 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 134348292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738828).

134348292 is an abundant number, since it is smaller than the sum of its proper divisors (233129364).

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

134348292 is a wasteful number, since it uses less digits than its factorization.

134348292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1392 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 134348292 is about 11590.8710630392. The cubic root of 134348292 is about 512.1659669066.

The spelling of 134348292 in words is "one hundred thirty-four million, three hundred forty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 257 468 514 771 1028 1117 1542 2234 2313 3084 3341 3351 4468 4626 6682 6702 9252 10023 10053 13364 13404 14521 20046 20106 29042 30069 40092 40212 43563 58084 60138 87126 120276 130689 174252 261378 287069 522756 574138 861207 1148276 1722414 2583621 3444828 3731897 5167242 7463794 10334484 11195691 14927588 22391382 33587073 44782764 67174146 134348292