Search a number
-
+
1345842432 = 28331131571
BaseRepresentation
bin101000000110111…
…1110110100000000
310110210102212202000
41100031332310000
510224013424212
6341314024000
745231320604
oct12015766400
93423385660
101345842432
11630769380
12316878000
13185a98b8c
14caa55504
157d2481dc
hex5037ed00

1345842432 has 288 divisors, whose sum is σ = 4489605120. Its totient is φ = 393984000.

The previous prime is 1345842419. The next prime is 1345842457. The reversal of 1345842432 is 2342485431.

1345842432 is a `hidden beast` number, since 1 + 34 + 584 + 2 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13458424322 = 3622583703543349248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356707 + ... + 2357277.

Almost surely, 21345842432 is an apocalyptic number.

1345842432 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 1345842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244802560).

1345842432 is an abundant number, since it is smaller than the sum of its proper divisors (3143762688).

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

1345842432 is a wasteful number, since it uses less digits than its factorization.

1345842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1345842432 is about 36685.7251802387. The cubic root of 1345842432 is about 1104.0737190849.

The spelling of 1345842432 in words is "one billion, three hundred forty-five million, eight hundred forty-two thousand, four hundred thirty-two".