Search a number
-
+
134044032 = 2732912037
BaseRepresentation
bin1111111110101…
…01100110000000
3100100020010211210
413333111212000
5233303402112
621145010120
73215232633
oct777254600
9310203753
10134044032
11697342a1
1238a83940
1321a033c5
1413b33c1a
15bb7bb3c
hex7fd5980

134044032 has 64 divisors (see below), whose sum is σ = 368362800. Its totient is φ = 43137024.

The previous prime is 134043983. The next prime is 134044037. The reversal of 134044032 is 230440431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134044037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5118 + ... + 17154.

Almost surely, 2134044032 is an apocalyptic number.

134044032 is a gapful number since it is divisible by the number (12) 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 134044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184181400).

134044032 is an abundant number, since it is smaller than the sum of its proper divisors (234318768).

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

134044032 is a wasteful number, since it uses less digits than its factorization.

134044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 134044032 is about 11577.7386393026. The cubic root of 134044032 is about 511.7790387692.

Adding to 134044032 its reverse (230440431), we get a palindrome (364484463).

The spelling of 134044032 in words is "one hundred thirty-four million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 12037 24074 36111 48148 72222 96296 144444 192592 288888 349073 385184 577776 698146 770368 1047219 1155552 1396292 1540736 2094438 2311104 2792584 4188876 4622208 5585168 8377752 11170336 16755504 22340672 33511008 44681344 67022016 134044032