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3364128 = 253211681
BaseRepresentation
bin1100110101010100100000
320022220201100
430311110200
51330123003
6200034400
740410645
oct14652440
96286640
103364128
111998579
121162a00
1390a311
14637dcc
15466ba3
hex335520

3364128 has 36 divisors (see below), whose sum is σ = 9567558. Its totient is φ = 1121280.

The previous prime is 3364117. The next prime is 3364133. The reversal of 3364128 is 8214633.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2862864 + 501264 = 1692^2 + 708^2 .

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

It is a super-2 number, since 2×33641282 = 22634714400768, 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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5553 + ... + 6128.

Almost surely, 23364128 is an apocalyptic number.

It is an amenable number.

3364128 is an abundant number, since it is smaller than the sum of its proper divisors (6203430).

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

3364128 is a wasteful number, since it uses less digits than its factorization.

3364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11686 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3364128 is about 1834.1559366641. The cubic root of 3364128 is about 149.8387600733.

The spelling of 3364128 in words is "three million, three hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11681 23362 35043 46724 70086 93448 105129 140172 186896 210258 280344 373792 420516 560688 841032 1121376 1682064 3364128