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3206364 = 223731941
BaseRepresentation
bin1100001110110011011100
320000220022020
430032303130
51310100424
6152420140
736153000
oct14166334
96026266
103206364
11189aa97
1210a7650
13883575
145d6700
15435079
hex30ecdc

3206364 has 96 divisors (see below), whose sum is σ = 9408000. Its totient is φ = 846720.

The previous prime is 3206363. The next prime is 3206377. The reversal of 3206364 is 4636023.

It is a d-powerful number, because it can be written as 313 + 25 + 0 + 6 + 313 + 64 + 47 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3206363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78184 + ... + 78224.

It is an arithmetic number, because the mean of its divisors is an integer number (98000).

Almost surely, 23206364 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 3206364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704000).

3206364 is an abundant number, since it is smaller than the sum of its proper divisors (6201636).

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

3206364 is a wasteful number, since it uses less digits than its factorization.

3206364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3206364 is about 1790.6322905611. The cubic root of 3206364 is about 147.4588834932.

It can be divided in two parts, 3206 and 364, that added together give a triangular number (3570 = T84).

The spelling of 3206364 in words is "three million, two hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 49 57 76 82 84 98 114 123 133 147 164 196 228 246 266 287 294 343 399 492 532 574 588 686 779 798 861 931 1029 1148 1372 1558 1596 1722 1862 2009 2058 2337 2793 3116 3444 3724 4018 4116 4674 5453 5586 6027 6517 8036 9348 10906 11172 12054 13034 14063 16359 19551 21812 24108 26068 28126 32718 38171 39102 42189 56252 65436 76342 78204 84378 114513 152684 168756 229026 267197 458052 534394 801591 1068788 1603182 3206364