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3397312 = 26109487
BaseRepresentation
bin1100111101011011000000
320101121020101
430331123000
51332203222
6200452144
740606462
oct14753300
96347211
103397312
111a104a6
12117a054
1391c459
14646132
15471927
hex33d6c0

3397312 has 28 divisors (see below), whose sum is σ = 6817360. Its totient is φ = 1679616.

The previous prime is 3397309. The next prime is 3397313. The reversal of 3397312 is 2137933.

3397312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3397313) 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 3 ways as a sum of consecutive naturals, for example, 6733 + ... + 7219.

Almost surely, 23397312 is an apocalyptic number.

3397312 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 3397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408680).

3397312 is an abundant number, since it is smaller than the sum of its proper divisors (3420048).

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

3397312 is a wasteful number, since it uses less digits than its factorization.

3397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its digits is 3402, while the sum is 28.

The square root of 3397312 is about 1843.1798610011. The cubic root of 3397312 is about 150.3298223978.

The spelling of 3397312 in words is "three million, three hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 218 436 487 872 974 1744 1948 3488 3896 6976 7792 15584 31168 53083 106166 212332 424664 849328 1698656 3397312