Search a number
-
+
134874432 = 26327113041
BaseRepresentation
bin10000000101000…
…00010101000000
3100101210022221100
420002200111000
5234011440212
621214454400
73225261630
oct1002402500
9311708840
10134874432
116a151180
1239204400
1321c34374
1413cac6c0
15bc92bdc
hex80a0540

134874432 has 168 divisors, whose sum is σ = 482144832. Its totient is φ = 35020800.

The previous prime is 134874431. The next prime is 134874437. The reversal of 134874432 is 234478431.

134874432 is a `hidden beast` number, since 134 + 87 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1348744322 = 36382224814645248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (134874431) 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, 42832 + ... + 45872.

Almost surely, 2134874432 is an apocalyptic number.

134874432 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 134874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241072416).

134874432 is an abundant number, since it is smaller than the sum of its proper divisors (347270400).

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

134874432 is a wasteful number, since it uses less digits than its factorization.

134874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3064 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 134874432 is about 11613.5451951590. The cubic root of 134874432 is about 512.8336841020.

The spelling of 134874432 in words is "one hundred thirty-four million, eight hundred seventy-four thousand, four hundred thirty-two".