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3312500 = 225653
BaseRepresentation
bin1100101000101101110100
320020021220012
430220231310
51322000000
6154555352
740104302
oct14505564
96207805
103312500
111962804
121138b58
138bc979
14623272
15456735
hex328b74

3312500 has 42 divisors (see below), whose sum is σ = 7382718. Its totient is φ = 1300000.

The previous prime is 3312457. The next prime is 3312503. The reversal of 3312500 is 52133.

3312500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3290596 + 21904 = 1814^2 + 148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312503) 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 13 ways as a sum of consecutive naturals, for example, 62474 + ... + 62526.

It is an arithmetic number, because the mean of its divisors is an integer number (175779).

Almost surely, 23312500 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 3312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691359).

3312500 is an abundant number, since it is smaller than the sum of its proper divisors (4070218).

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

3312500 is an frugal number, since it uses more digits than its factorization.

3312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3312500 is about 1820.0274723201. The cubic root of 3312500 is about 149.0682989436.

Adding to 3312500 its reverse (52133), we get a palindrome (3364633).

The spelling of 3312500 in words is "three million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 625 1060 1250 1325 2500 2650 3125 5300 6250 6625 12500 13250 15625 26500 31250 33125 62500 66250 132500 165625 331250 662500 828125 1656250 3312500