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3312192 = 263131327
BaseRepresentation
bin1100101000101001000000
320020021110210
430220221000
51321442232
6154554120
740103352
oct14505100
96207423
103312192
111962554
121138940
138bc7a0
146230d2
154565cc
hex328a40

3312192 has 56 divisors (see below), whose sum is σ = 9444736. Its totient is φ = 1018368.

The previous prime is 3312191. The next prime is 3312193. The reversal of 3312192 is 2912133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3312191) and next prime (3312193).

It is not an unprimeable number, because it can be changed into a prime (3312191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1833 + ... + 3159.

It is an arithmetic number, because the mean of its divisors is an integer number (168656).

Almost surely, 23312192 is an apocalyptic number.

3312192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722368).

3312192 is an abundant number, since it is smaller than the sum of its proper divisors (6132544).

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

3312192 is a wasteful number, since it uses less digits than its factorization.

3312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1345 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 3312192 is about 1819.9428562458. The cubic root of 3312192 is about 149.0636786207.

The spelling of 3312192 in words is "three million, three hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1327 2496 2654 3981 5308 7962 10616 15924 17251 21232 31848 34502 42464 51753 63696 69004 84928 103506 127392 138008 207012 254784 276016 414024 552032 828048 1104064 1656096 3312192