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3313152 = 2932719
BaseRepresentation
bin1100101000111000000000
320020022210100
430220320000
51322010102
6155002400
740106223
oct14507000
96208710
103313152
111963247
121139400
138c005b
146235ba
15456a1c
hex328e00

3313152 has 60 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 1102848.

The previous prime is 3313139. The next prime is 3313153. The reversal of 3313152 is 2513133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313153) 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 5 ways as a sum of consecutive naturals, for example, 4249 + ... + 4967.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 23313152 is an apocalyptic number.

3313152 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 3313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

3313152 is an abundant number, since it is smaller than the sum of its proper divisors (6262128).

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

3313152 is an equidigital number, since it uses as much as digits as its factorization.

3313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 3313152 is about 1820.2065816824. The cubic root of 3313152 is about 149.0780786824.

Adding to 3313152 its reverse (2513133), we get a palindrome (5826285).

The spelling of 3313152 in words is "three million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 719 768 1152 1438 1536 2157 2304 2876 4314 4608 5752 6471 8628 11504 12942 17256 23008 25884 34512 46016 51768 69024 92032 103536 138048 184064 207072 276096 368128 414144 552192 828288 1104384 1656576 3313152