Search a number
-
+
134341872 = 2437487821
BaseRepresentation
bin10000000000111…
…10010011110000
3100100210021101220
420000132103300
5233342414442
621155225040
73220613160
oct1000362360
9310707356
10134341872
1169918045
1238ba8180
1321aa8b42
1413bb05a0
15bbd9eec
hex801e4f0

134341872 has 80 divisors (see below), whose sum is σ = 397926912. Its totient is φ = 38257920.

The previous prime is 134341861. The next prime is 134341877. The reversal of 134341872 is 278143431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134341877) 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, 163222 + ... + 164042.

Almost surely, 2134341872 is an apocalyptic number.

134341872 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 134341872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198963456).

134341872 is an abundant number, since it is smaller than the sum of its proper divisors (263585040).

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

134341872 is a wasteful number, since it uses less digits than its factorization.

134341872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 134341872 is about 11590.5941176456. The cubic root of 134341872 is about 512.1578086144.

The spelling of 134341872 in words is "one hundred thirty-four million, three hundred forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 487 821 974 1461 1642 1948 2463 2922 3284 3409 3896 4926 5747 5844 6568 6818 7792 9852 10227 11494 11688 13136 13636 17241 19704 20454 22988 23376 27272 34482 39408 40908 45976 54544 68964 81816 91952 137928 163632 275856 399827 799654 1199481 1599308 2398962 2798789 3198616 4797924 5597578 6397232 8396367 9595848 11195156 16792734 19191696 22390312 33585468 44780624 67170936 134341872