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3366240 = 25357013
BaseRepresentation
bin1100110101110101100000
320100000121120
430311311200
51330204430
6200052240
740420053
oct14656540
96300546
103366240
11199a119
121164080
1390b277
14638a9a
15467610
hex335d60

3366240 has 48 divisors (see below), whose sum is σ = 10605168. Its totient is φ = 897536.

The previous prime is 3366239. The next prime is 3366271. The reversal of 3366240 is 426633.

3366240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33662402 = 22663143475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3366240.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3027 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (220941).

Almost surely, 23366240 is an apocalyptic number.

3366240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3366240 is an abundant number, since it is smaller than the sum of its proper divisors (7238928).

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

3366240 is a wasteful number, since it uses less digits than its factorization.

3366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3366240 is about 1834.7315879986. The cubic root of 3366240 is about 149.8701097782.

The spelling of 3366240 in words is "three million, three hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7013 14026 21039 28052 35065 42078 56104 70130 84156 105195 112208 140260 168312 210390 224416 280520 336624 420780 561040 673248 841560 1122080 1683120 3366240