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3430872 = 2332172803
BaseRepresentation
bin1101000101100111011000
320110022021100
431011213120
51334241442
6201311400
741106354
oct15054730
96408240
103430872
111a33735
121195560
13931803
14654464
1547b84c
hex3459d8

3430872 has 48 divisors (see below), whose sum is σ = 9842040. Its totient is φ = 1075968.

The previous prime is 3430831. The next prime is 3430873. The reversal of 3430872 is 2780343.

3430872 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 not an unprimeable number, because it can be changed into a prime (3430873) 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 11 ways as a sum of consecutive naturals, for example, 178 + ... + 2625.

Almost surely, 23430872 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 3430872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921020).

3430872 is an abundant number, since it is smaller than the sum of its proper divisors (6411168).

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

3430872 is a wasteful number, since it uses less digits than its factorization.

3430872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3430872 is about 1852.2613206565. The cubic root of 3430872 is about 150.8232072673.

The spelling of 3430872 in words is "three million, four hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2803 5606 8409 11212 16818 22424 25227 33636 47651 50454 67272 95302 100908 142953 190604 201816 285906 381208 428859 571812 857718 1143624 1715436 3430872