Search a number
-
+
3325752 = 233389173
BaseRepresentation
bin1100101011111100111000
320020222002000
430223330320
51322411002
6155141000
740161033
oct14537470
96228060
103325752
111971761
121144760
138c5a01
1462801a
1545a61c
hex32bf38

3325752 has 64 divisors (see below), whose sum is σ = 9396000. Its totient is φ = 1089792.

The previous prime is 3325747. The next prime is 3325759. The reversal of 3325752 is 2575233.

It is a super-2 number, since 2×33257522 = 22121252731008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19138 + ... + 19310.

Almost surely, 23325752 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 3325752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698000).

3325752 is an abundant number, since it is smaller than the sum of its proper divisors (6070248).

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

3325752 is a wasteful number, since it uses less digits than its factorization.

3325752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 3325752 is about 1823.6644428184. The cubic root of 3325752 is about 149.2668221740.

It can be divided in two parts, 332 and 5752, that added together give a square (6084 = 782).

The spelling of 3325752 in words is "three million, three hundred twenty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 173 178 216 267 346 356 519 534 692 712 801 1038 1068 1384 1557 1602 2076 2136 2403 3114 3204 4152 4671 4806 6228 6408 9342 9612 12456 15397 18684 19224 30794 37368 46191 61588 92382 123176 138573 184764 277146 369528 415719 554292 831438 1108584 1662876 3325752