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3408132 = 2237133121
BaseRepresentation
bin1101000000000100000100
320102011002010
431000010010
51333030012
6201014220
740653150
oct15000404
96364063
103408132
111a18642
121184370
13924360
1464a060
15474c3c
hex340104

3408132 has 48 divisors (see below), whose sum is σ = 9790592. Its totient is φ = 898560.

The previous prime is 3408127. The next prime is 3408133. The reversal of 3408132 is 2318043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3408099 and 3408108.

It is not an unprimeable number, because it can be changed into a prime (3408133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 2652.

Almost surely, 23408132 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 3408132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895296).

3408132 is an abundant number, since it is smaller than the sum of its proper divisors (6382460).

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

3408132 is a wasteful number, since it uses less digits than its factorization.

3408132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3408132 is about 1846.1126726178. The cubic root of 3408132 is about 150.4892469589.

The spelling of 3408132 in words is "three million, four hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 3121 6242 9363 12484 18726 21847 37452 40573 43694 65541 81146 87388 121719 131082 162292 243438 262164 284011 486876 568022 852033 1136044 1704066 3408132