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134414600 = 2352672073
BaseRepresentation
bin10000000001100…
…00000100001000
3100100220222011112
420000300010020
5233402231400
621200545452
73221335205
oct1000600410
9310828145
10134414600
1169967751
1239022288
1321b02c88
1413bcccac
15bc01835
hex8030108

134414600 has 24 divisors (see below), whose sum is σ = 312514410. Its totient is φ = 53765760.

The previous prime is 134414591. The next prime is 134414627. The reversal of 134414600 is 6414431.

134414600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 116079076 + 18335524 = 10774^2 + 4282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 335837 + ... + 336236.

Almost surely, 2134414600 is an apocalyptic number.

134414600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134414600 is an abundant number, since it is smaller than the sum of its proper divisors (178099810).

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

134414600 is a wasteful number, since it uses less digits than its factorization.

134414600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672089 (or 672080 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 134414600 is about 11593.7310646746. The cubic root of 134414600 is about 512.2502133946.

The spelling of 134414600 in words is "one hundred thirty-four million, four hundred fourteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 672073 1344146 2688292 3360365 5376584 6720730 13441460 16801825 26882920 33603650 67207300 134414600