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3394272 = 25375051
BaseRepresentation
bin1100111100101011100000
320101110001210
430330223200
51332104042
6200430120
740564560
oct14745340
96343053
103394272
111a09192
121178340
1391ac5b
14644da0
15470a9c
hex33cae0

3394272 has 48 divisors (see below), whose sum is σ = 10184832. Its totient is φ = 969600.

The previous prime is 3394231. The next prime is 3394277. The reversal of 3394272 is 2724933.

3394272 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394277) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1854 + ... + 3197.

It is an arithmetic number, because the mean of its divisors is an integer number (212184).

Almost surely, 23394272 is an apocalyptic number.

3394272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3394272 is an abundant number, since it is smaller than the sum of its proper divisors (6790560).

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

3394272 is a wasteful number, since it uses less digits than its factorization.

3394272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5063 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 3394272 is about 1842.3550146484. The cubic root of 3394272 is about 150.2849693846.

The spelling of 3394272 in words is "three million, three hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5051 10102 15153 20204 30306 35357 40408 60612 70714 80816 106071 121224 141428 161632 212142 242448 282856 424284 484896 565712 848568 1131424 1697136 3394272