Search a number
-
+
3332312384 = 26457113933
BaseRepresentation
bin1100011010011111…
…0000110101000000
322121020100000020012
43012213300311000
523311032444014
61310355004052
7145402121312
oct30647606500
98536300205
103332312384
111460004685
1278bb99628
134114b699b
142387cb7b2
15147836c3e
hexc69f0d40

3332312384 has 28 divisors (see below), whose sum is σ = 6627085044. Its totient is φ = 1662495744.

The previous prime is 3332312383. The next prime is 3332312411. The reversal of 3332312384 is 4832132333.

It can be written as a sum of positive squares in 2 ways, for example, as 2614072384 + 718240000 = 51128^2 + 26800^2 .

It is a super-3 number, since 3×33323123843 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3332312384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332312383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27719 + ... + 86214.

Almost surely, 23332312384 is an apocalyptic number.

It is an amenable number.

3332312384 is a deficient number, since it is larger than the sum of its proper divisors (3294772660).

3332312384 is a wasteful number, since it uses less digits than its factorization.

3332312384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114402 (or 114392 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

The square root of 3332312384 is about 57726.1845612543. The cubic root of 3332312384 is about 1493.6490570397.

The spelling of 3332312384 in words is "three billion, three hundred thirty-two million, three hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 457 914 1828 3656 7312 14624 29248 113933 227866 455732 911464 1822928 3645856 7291712 52067381 104134762 208269524 416539048 833078096 1666156192 3332312384