Search a number
-
+
12320032344 = 233513334681
BaseRepresentation
bin10110111100101010…
…01100011001011000
31011210121022111012020
423132111030121120
5200212412013334
65354301014440
7614205355434
oct133625143130
934717274166
1012320032344
115252378714
122479b54420
131214557689
1484c3279c4
154c18d9e49
hex2de54c658

12320032344 has 16 divisors (see below), whose sum is σ = 30800080920. Its totient is φ = 4106677440.

The previous prime is 12320032331. The next prime is 12320032367. The reversal of 12320032344 is 44323002321.

12320032344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123200323442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 513334681 = 12320032344 / (1 + 2 + 3 + 2 + 0 + 0 + 3 + 2 + 3 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256667317 + ... + 256667364.

Almost surely, 212320032344 is an apocalyptic number.

It is an amenable number.

12320032344 is an abundant number, since it is smaller than the sum of its proper divisors (18480048576).

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

12320032344 is a wasteful number, since it uses less digits than its factorization.

12320032344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513334690 (or 513334686 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12320032344 its reverse (44323002321), we get a palindrome (56643034665).

The spelling of 12320032344 in words is "twelve billion, three hundred twenty million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 513334681 1026669362 1540004043 2053338724 3080008086 4106677448 6160016172 12320032344