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3380208 = 243135417
BaseRepresentation
bin1100111001001111110000
320100201202220
430321033300
51331131313
6200241040
740505556
oct14711760
96321686
103380208
1119a9667
121170180
13914730
1463dbd6
1546b823
hex3393f0

3380208 has 40 divisors (see below), whose sum is σ = 9405648. Its totient is φ = 1039872.

The previous prime is 3380207. The next prime is 3380213. The reversal of 3380208 is 8020833.

It is a super-2 number, since 2×33802082 = 22851612246528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2085 + ... + 3332.

Almost surely, 23380208 is an apocalyptic number.

It is an amenable number.

3380208 is an abundant number, since it is smaller than the sum of its proper divisors (6025440).

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

3380208 is a wasteful number, since it uses less digits than its factorization.

3380208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3380208 is about 1838.5341987573. The cubic root of 3380208 is about 150.0771159030.

It can be divided in two parts, 3 and 380208, that multiplied together give a square (1140624 = 10682).

The spelling of 3380208 in words is "three million, three hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 5417 10834 16251 21668 32502 43336 65004 70421 86672 130008 140842 211263 260016 281684 422526 563368 845052 1126736 1690104 3380208