Search a number
-
+
3325312 = 2783313
BaseRepresentation
bin1100101011110110000000
320020221110201
430223312000
51322402222
6155134544
740156534
oct14536600
96227421
103325312
1119713a1
121144454
138c5753
14627bc4
1545a427
hex32bd80

3325312 has 32 divisors (see below), whose sum is σ = 6725880. Its totient is φ = 1637376.

The previous prime is 3325303. The next prime is 3325313. The reversal of 3325312 is 2135233.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33253122 = 22115399794688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3325312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10468 + ... + 10780.

Almost surely, 23325312 is an apocalyptic number.

3325312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362940).

3325312 is an abundant number, since it is smaller than the sum of its proper divisors (3400568).

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

3325312 is an equidigital number, since it uses as much as digits as its factorization.

3325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 3325312 is about 1823.5438025998. The cubic root of 3325312 is about 149.2602391718.

It can be divided in two parts, 332 and 5312, that multiplied together give a square (1763584 = 13282).

The spelling of 3325312 in words is "three million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 313 332 626 664 1252 1328 2504 2656 5008 5312 10016 10624 20032 25979 40064 51958 103916 207832 415664 831328 1662656 3325312