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134331300 = 223252149257
BaseRepresentation
bin10000000000110…
…11101110100100
3100100202201220100
420000123232210
5233342100200
621155104100
73220540305
oct1000335644
9310681810
10134331300
1169910104
1238ba2030
1321aa409c
1413baa7ac
15bbd6d00
hex801bba4

134331300 has 54 divisors (see below), whose sum is σ = 421056818. Its totient is φ = 35821440.

The previous prime is 134331289. The next prime is 134331319. The reversal of 134331300 is 3133431.

134331300 is a `hidden beast` number, since 1 + 34 + 331 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28323684 + 106007616 = 5322^2 + 10296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73729 + ... + 75528.

Almost surely, 2134331300 is an apocalyptic number.

134331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134331300 is an abundant number, since it is smaller than the sum of its proper divisors (286725518).

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

134331300 is a wasteful number, since it uses less digits than its factorization.

134331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149277 (or 149267 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 134331300 is about 11590.1380492210. The cubic root of 134331300 is about 512.1443735517.

Adding to 134331300 its reverse (3133431), we get a palindrome (137464731).

The spelling of 134331300 in words is "one hundred thirty-four million, three hundred thirty-one thousand, three 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 149257 298514 447771 597028 746285 895542 1343313 1492570 1791084 2238855 2686626 2985140 3731425 4477710 5373252 6716565 7462850 8955420 11194275 13433130 14925700 22388550 26866260 33582825 44777100 67165650 134331300