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3382632 = 2332114271
BaseRepresentation
bin1100111001110101101000
320100212002200
430321311220
51331221012
6200300200
740515621
oct14716550
96325080
103382632
111a00470
121171660
13915876
14640a48
1546c3dc
hex339d68

3382632 has 48 divisors (see below), whose sum is σ = 9996480. Its totient is φ = 1024800.

The previous prime is 3382607. The next prime is 3382649. The reversal of 3382632 is 2362833.

It is a super-2 number, since 2×33826322 = 22884398494848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3382596 and 3382605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (208260).

Almost surely, 23382632 is an apocalyptic number.

It is an amenable number.

3382632 is an abundant number, since it is smaller than the sum of its proper divisors (6613848).

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

3382632 is a wasteful number, since it uses less digits than its factorization.

3382632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4287 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3382632 is about 1839.1933014232. The cubic root of 3382632 is about 150.1129815464.

The spelling of 3382632 in words is "three million, three hundred eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4271 8542 12813 17084 25626 34168 38439 46981 51252 76878 93962 102504 140943 153756 187924 281886 307512 375848 422829 563772 845658 1127544 1691316 3382632