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3285352 = 237217229
BaseRepresentation
bin1100100010000101101000
320011220122201
430202011220
51320112402
6154225544
736632200
oct14420550
96156581
103285352
111944374
1211252b4
138b04c5
14617400
1544d687
hex322168

3285352 has 72 divisors (see below), whose sum is σ = 7874550. Its totient is φ = 1279488.

The previous prime is 3285319. The next prime is 3285353. The reversal of 3285352 is 2535823.

It can be written as a sum of positive squares in 3 ways, for example, as 3261636 + 23716 = 1806^2 + 154^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3285352.

It is not an unprimeable number, because it can be changed into a prime (3285353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113274 + ... + 113302.

Almost surely, 23285352 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 3285352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937275).

3285352 is an abundant number, since it is smaller than the sum of its proper divisors (4589198).

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

3285352 is a wasteful number, since it uses less digits than its factorization.

3285352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 55 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 3285352 is about 1812.5539991956. The cubic root of 3285352 is about 148.6599454912.

The spelling of 3285352 in words is "three million, two hundred eighty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 29 34 49 56 58 68 98 116 119 136 196 203 232 238 289 392 406 476 493 578 812 833 952 986 1156 1421 1624 1666 1972 2023 2312 2842 3332 3451 3944 4046 5684 6664 6902 8092 8381 11368 13804 14161 16184 16762 24157 27608 28322 33524 48314 56644 58667 67048 96628 113288 117334 193256 234668 410669 469336 821338 1642676 3285352