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134340100 = 225247101283
BaseRepresentation
bin10000000000111…
…01111000000100
3100100210011222021
420000131320010
5233342340400
621155212524
73220605046
oct1000357004
9310704867
10134340100
1169916784
1238ba7144
1321aa80ab
1413bada96
15bbd971a
hex801de04

134340100 has 72 divisors (see below), whose sum is σ = 301730688. Its totient is φ = 51888000.

The previous prime is 134340083. The next prime is 134340133. The reversal of 134340100 is 1043431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474559 + ... + 474841.

It is an arithmetic number, because the mean of its divisors is an integer number (4190704).

Almost surely, 2134340100 is an apocalyptic number.

134340100 is a gapful number since it is divisible by the number (10) 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 134340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150865344).

134340100 is an abundant number, since it is smaller than the sum of its proper divisors (167390588).

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

134340100 is a wasteful number, since it uses less digits than its factorization.

134340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 134340100 is about 11590.5176761006. The cubic root of 134340100 is about 512.1555567783.

Adding to 134340100 its reverse (1043431), we get a palindrome (135383531).

The spelling of 134340100 in words is "one hundred thirty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 101 188 202 235 283 404 470 505 566 940 1010 1132 1175 1415 2020 2350 2525 2830 4700 4747 5050 5660 7075 9494 10100 13301 14150 18988 23735 26602 28300 28583 47470 53204 57166 66505 94940 114332 118675 133010 142915 237350 266020 285830 332525 474700 571660 665050 714575 1330100 1343401 1429150 2686802 2858300 5373604 6717005 13434010 26868020 33585025 67170050 134340100