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3369888 = 253211701
BaseRepresentation
bin1100110110101110100000
320100012121200
430312232200
51330314023
6200121200
740433514
oct14665640
96305550
103369888
1119a1935
121166200
1390cb22
1463a144
15468743
hex336ba0

3369888 has 36 divisors (see below), whose sum is σ = 9583938. Its totient is φ = 1123200.

The previous prime is 3369869. The next prime is 3369929. The reversal of 3369888 is 8889633.

3369888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2471184 + 898704 = 1572^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33698882 = 22712290265088, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5563 + ... + 6138.

Almost surely, 23369888 is an apocalyptic number.

It is an amenable number.

3369888 is an abundant number, since it is smaller than the sum of its proper divisors (6214050).

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

3369888 is a wasteful number, since it uses less digits than its factorization.

3369888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11717 (or 11706 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3369888 is about 1835.7254696713. The cubic root of 3369888 is about 149.9242283975.

The spelling of 3369888 in words is "three million, three hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11701 23402 35103 46804 70206 93608 105309 140412 187216 210618 280824 374432 421236 561648 842472 1123296 1684944 3369888