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134331444 = 2232131915107
BaseRepresentation
bin10000000000110…
…11110000110100
3100100202202002200
420000123300310
5233342101234
621155104500
73220540602
oct1000336064
9310682080
10134331444
1169910225
1238ba2130
1321aa4180
1413baa872
15bbd6d99
hex801bc34

134331444 has 72 divisors (see below), whose sum is σ = 384951840. Its totient is φ = 39154752.

The previous prime is 134331443. The next prime is 134331469. The reversal of 134331444 is 444133431.

134331444 is a `hidden beast` number, since 1 + 343 + 314 + 4 + 4 = 666.

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 (134331443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339 + ... + 16445.

Almost surely, 2134331444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192475920).

134331444 is an abundant number, since it is smaller than the sum of its proper divisors (250620396).

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

134331444 is a wasteful number, since it uses less digits than its factorization.

134331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149 (or 15144 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 134331444 is about 11590.1442613973. The cubic root of 134331444 is about 512.1445565539.

Adding to 134331444 its reverse (444133431), we get a palindrome (578464875).

The spelling of 134331444 in words is "one hundred thirty-four million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 15107 30214 45321 60428 90642 135963 181284 196391 271926 287033 392782 543852 574066 589173 785564 861099 1148132 1178346 1722198 1767519 2356692 2583297 3444396 3535038 3731429 5166594 7070076 7462858 10333188 11194287 14925716 22388574 33582861 44777148 67165722 134331444