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3320625 = 35471123
BaseRepresentation
bin1100101010101100110001
320020201001010
430222230301
51322230000
6155101133
740140060
oct14525461
96221033
103320625
111968920
1211417a9
138c3589
146261d7
15458d50
hex32ab31

3320625 has 80 divisors (see below), whose sum is σ = 7197696. Its totient is φ = 1320000.

The previous prime is 3320623. The next prime is 3320651. The reversal of 3320625 is 5260233.

3320625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3320625 - 21 = 3320623 is a prime.

It is a super-2 number, since 2×33206252 = 22053100781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3320623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144364 + ... + 144386.

Almost surely, 23320625 is an apocalyptic number.

3320625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3320625 is an abundant number, since it is smaller than the sum of its proper divisors (3877071).

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

3320625 is a wasteful number, since it uses less digits than its factorization.

3320625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3320625 is about 1822.2582144142. The cubic root of 3320625 is about 149.1900791703.

Adding to 3320625 its reverse (5260233), we get a palindrome (8580858).

It can be divided in two parts, 33 and 20625, that multiplied together give a square (680625 = 8252).

The spelling of 3320625 in words is "three million, three hundred twenty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 23 25 33 35 55 69 75 77 105 115 125 161 165 175 231 253 275 345 375 385 483 525 575 625 759 805 825 875 1155 1265 1375 1725 1771 1875 1925 2415 2625 2875 3795 4025 4125 4375 5313 5775 6325 6875 8625 8855 9625 12075 13125 14375 18975 20125 20625 26565 28875 31625 43125 44275 48125 60375 94875 100625 132825 144375 158125 221375 301875 474375 664125 1106875 3320625