Search a number
-
+
1334934432 = 253413173229
BaseRepresentation
bin100111110010001…
…0111101110100000
310110000220200210000
41033210113232200
510213220400212
6340244140000
745036520056
oct11744275640
93400820700
101334934432
11625598aa7
12313097600
13183749c40
14c94161d6
157c2e11dc
hex4f917ba0

1334934432 has 240 divisors, whose sum is σ = 4271014440. Its totient is φ = 406591488.

The previous prime is 1334934397. The next prime is 1334934437. The reversal of 1334934432 is 2344394331.

1334934432 is a `hidden beast` number, since 133 + 4 + 93 + 4 + 432 = 666.

1334934432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1324668816 + 10265616 = 36396^2 + 3204^2 .

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 not an unprimeable number, because it can be changed into a prime (1334934437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5829294 + ... + 5829522.

Almost surely, 21334934432 is an apocalyptic number.

1334934432 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 1334934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135507220).

1334934432 is an abundant number, since it is smaller than the sum of its proper divisors (2936080008).

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

1334934432 is a wasteful number, since it uses less digits than its factorization.

1334934432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 1334934432 is about 36536.7545356727. The cubic root of 1334934432 is about 1101.0827993473.

The spelling of 1334934432 in words is "one billion, three hundred thirty-four million, nine hundred thirty-four thousand, four hundred thirty-two".