Search a number
-
+
3325500 = 223253739
BaseRepresentation
bin1100101011111000111100
320020221201200
430223320330
51322404000
6155135500
740160223
oct14537074
96227650
103325500
111971552
121144590
138c5869
14627cba
1545a500
hex32be3c

3325500 has 72 divisors (see below), whose sum is σ = 10505040. Its totient is φ = 885600.

The previous prime is 3325457. The next prime is 3325519. The reversal of 3325500 is 55233.

It is a super-2 number, since 2×33255002 = 22117900500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4131 + ... + 4869.

Almost surely, 23325500 is an apocalyptic number.

3325500 is a gapful number since it is divisible by the number (30) 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 3325500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252520).

3325500 is an abundant number, since it is smaller than the sum of its proper divisors (7179540).

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

3325500 is a wasteful number, since it uses less digits than its factorization.

3325500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3325500 is about 1823.5953498515. The cubic root of 3325500 is about 149.2630519801.

It can be divided in two parts, 332 and 5500, that added together give a cube (5832 = 183).

The spelling of 3325500 in words is "three million, three hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 739 750 900 1125 1478 1500 2217 2250 2956 3695 4434 4500 6651 7390 8868 11085 13302 14780 18475 22170 26604 33255 36950 44340 55425 66510 73900 92375 110850 133020 166275 184750 221700 277125 332550 369500 554250 665100 831375 1108500 1662750 3325500