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3364500 = 223532243
BaseRepresentation
bin1100110101011010010100
320022221020010
430311122110
51330131000
6200040220
740412016
oct14653224
96287203
103364500
111998887
121163070
1390a539
146381b6
15466d50
hex335694

3364500 has 48 divisors (see below), whose sum is σ = 9801792. Its totient is φ = 896800.

The previous prime is 3364489. The next prime is 3364507. The reversal of 3364500 is 54633.

3364500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×33645003 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364507) 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 15 ways as a sum of consecutive naturals, for example, 379 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (204204).

Almost surely, 23364500 is an apocalyptic number.

3364500 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 3364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900896).

3364500 is an abundant number, since it is smaller than the sum of its proper divisors (6437292).

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

3364500 is a wasteful number, since it uses less digits than its factorization.

3364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2253 counting only the distinct ones).

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

The square root of 3364500 is about 1834.2573429048. The cubic root of 3364500 is about 149.8442828482.

The spelling of 3364500 in words is "three million, three hundred sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 2243 4486 6729 8972 11215 13458 22430 26916 33645 44860 56075 67290 112150 134580 168225 224300 280375 336450 560750 672900 841125 1121500 1682250 3364500