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3420832 = 25532017
BaseRepresentation
bin1101000011001010100000
320102210111111
431003022200
51333431312
6201153104
741035162
oct15031240
96383444
103420832
111a27138
12118b794
1392a07c
14650932
154788a7
hex3432a0

3420832 has 24 divisors (see below), whose sum is σ = 6865236. Its totient is φ = 1677312.

The previous prime is 3420829. The next prime is 3420839. The reversal of 3420832 is 2380243.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 309136 = 1764^2 + 556^2 .

It is not an unprimeable number, because it can be changed into a prime (3420839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688 + ... + 2704.

Almost surely, 23420832 is an apocalyptic number.

3420832 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 3420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432618).

3420832 is an abundant number, since it is smaller than the sum of its proper divisors (3444404).

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

3420832 is a wasteful number, since it uses less digits than its factorization.

3420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3420832 is about 1849.5491342487. The cubic root of 3420832 is about 150.6759420330.

The spelling of 3420832 in words is "three million, four hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2017 4034 8068 16136 32272 64544 106901 213802 427604 855208 1710416 3420832