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134324100 = 223252149249
BaseRepresentation
bin10000000000110…
…01111110000100
3100100202101000200
420000121332010
5233341332400
621155010500
73220510311
oct1000317604
9310671020
10134324100
1169905759
1238b99a30
1321aa0a21
1413ba7d08
15bbd4b00
hex8019f84

134324100 has 54 divisors (see below), whose sum is σ = 421034250. Its totient is φ = 35819520.

The previous prime is 134324093. The next prime is 134324107. The reversal of 134324100 is 1423431.

It is an interprime number because it is at equal distance from previous prime (134324093) and next prime (134324107).

It can be written as a sum of positive squares in 3 ways, for example, as 37970244 + 96353856 = 6162^2 + 9816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134324107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73725 + ... + 75524.

Almost surely, 2134324100 is an apocalyptic number.

134324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134324100 is an abundant number, since it is smaller than the sum of its proper divisors (286710150).

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

134324100 is a wasteful number, since it uses less digits than its factorization.

134324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149269 (or 149259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134324100 is about 11589.8274361614. The cubic root of 134324100 is about 512.1352232758.

Adding to 134324100 its reverse (1423431), we get a palindrome (135747531).

The spelling of 134324100 in words is "one hundred thirty-four million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 149249 298498 447747 596996 746245 895494 1343241 1492490 1790988 2238735 2686482 2984980 3731225 4477470 5372964 6716205 7462450 8954940 11193675 13432410 14924900 22387350 26864820 33581025 44774700 67162050 134324100