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3243564 = 22354771
BaseRepresentation
bin1100010111111000101100
320002210100000
430113320230
51312243224
6153304300
736366312
oct14277054
96083300
103243564
111915a35
121105090
1389748c
146060b2
154410c9
hex317e2c

3243564 has 72 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1043280.

The previous prime is 3243523. The next prime is 3243587. The reversal of 3243564 is 4653423.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

3243564 is a modest number, since divided by 3564 gives 324 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45649 + ... + 45719.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 23243564 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 3243564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

3243564 is an abundant number, since it is smaller than the sum of its proper divisors (5562324).

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

3243564 is a wasteful number, since it uses less digits than its factorization.

3243564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 3243564 is about 1800.9897278996. The cubic root of 3243564 is about 148.0269612435.

Adding to 3243564 its reverse (4653423), we get a palindrome (7896987).

The spelling of 3243564 in words is "three million, two hundred forty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 71 81 94 108 141 142 162 188 213 243 282 284 324 423 426 486 564 639 846 852 972 1269 1278 1692 1917 2538 2556 3337 3807 3834 5076 5751 6674 7614 7668 10011 11421 11502 13348 15228 17253 20022 22842 23004 30033 34506 40044 45684 60066 69012 90099 120132 180198 270297 360396 540594 810891 1081188 1621782 3243564