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3427312 = 24771431
BaseRepresentation
bin1101000100101111110000
320110010101111
431010233300
51334133222
6201243104
741063110
oct15045760
96403344
103427312
111a30a99
121193494
1392ccc5
14653040
1547a777
hex344bf0

3427312 has 40 divisors (see below), whose sum is σ = 7713792. Its totient is φ = 1444800.

The previous prime is 3427309. The next prime is 3427327. The reversal of 3427312 is 2137243.

3427312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 7737 + ... + 8167.

Almost surely, 23427312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896).

3427312 is an abundant number, since it is smaller than the sum of its proper divisors (4286480).

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

3427312 is a wasteful number, since it uses less digits than its factorization.

3427312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 3427312 is about 1851.3000837249. The cubic root of 3427312 is about 150.7710226295.

The spelling of 3427312 in words is "three million, four hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 431 497 568 862 994 1136 1724 1988 3017 3448 3976 6034 6896 7952 12068 24136 30601 48272 61202 122404 214207 244808 428414 489616 856828 1713656 3427312