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3382890472 = 231332527793
BaseRepresentation
bin1100100110100010…
…1100111111101000
322201202111122022201
43021220230333220
523412004443342
61315403025544
7146555044303
oct31150547750
98652448281
103382890472
11148660a755
127a4b0b2b4
1341bb15250
142413d5b3a
1514bec7db7
hexc9a2cfe8

3382890472 has 16 divisors (see below), whose sum is σ = 6830836740. Its totient is φ = 1561334016.

The previous prime is 3382890463. The next prime is 3382890479. The reversal of 3382890472 is 2740982833.

It can be written as a sum of positive squares in 2 ways, for example, as 3242846916 + 140043556 = 56946^2 + 11834^2 .

It is a super-2 number, since 2×33828904722 = 22887895891096765568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382890479) by changing a digit.

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, 16263793 + ... + 16264000.

Almost surely, 23382890472 is an apocalyptic number.

It is an amenable number.

3382890472 is an abundant number, since it is smaller than the sum of its proper divisors (3447946268).

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

3382890472 is a wasteful number, since it uses less digits than its factorization.

3382890472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32527812 (or 32527808 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 3382890472 is about 58162.6209175618. The cubic root of 3382890472 is about 1501.1680490197.

It can be divided in two parts, 338 and 2890472, that added together give a triangular number (2890810 = T2404).

The spelling of 3382890472 in words is "three billion, three hundred eighty-two million, eight hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 32527793 65055586 130111172 260222344 422861309 845722618 1691445236 3382890472