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3431296 = 27112437
BaseRepresentation
bin1101000101101110000000
320110022212001
431011232000
51334300141
6201313344
741110531
oct15055600
96408761
103431296
111a33a90
121195854
13931a6b
14654688
1547ba31
hex345b80

3431296 has 32 divisors (see below), whose sum is σ = 7460280. Its totient is φ = 1559040.

The previous prime is 3431287. The next prime is 3431317. The reversal of 3431296 is 6921343.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 3 + 48 + 313 + 1 + 215 + 95 + 68 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190 + ... + 2626.

Almost surely, 23431296 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 3431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730140).

3431296 is an abundant number, since it is smaller than the sum of its proper divisors (4028984).

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

3431296 is a wasteful number, since it uses less digits than its factorization.

3431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2450 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 3431296 is about 1852.3757718131. The cubic root of 3431296 is about 150.8294201102.

The spelling of 3431296 in words is "three million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2437 4874 9748 19496 26807 38992 53614 77984 107228 155968 214456 311936 428912 857824 1715648 3431296