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3366804 = 2237149269
BaseRepresentation
bin1100110101111110010100
320100001101110
430311332110
51330214204
6200055020
740421520
oct14657624
96301343
103366804
11199a591
121164470
1390b5bc
14638d80
15467889
hex335f94

3366804 has 48 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 951936.

The previous prime is 3366767. The next prime is 3366821. The reversal of 3366804 is 4086633.

3366804 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33668042 = 22670738348832, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 35 + 38 + 68 + 68 + 83 + 0 + 44 .

It is a plaindrome in base 15.

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 15 ways as a sum of consecutive naturals, for example, 12382 + ... + 12650.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 23366804 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 3366804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

3366804 is an abundant number, since it is smaller than the sum of its proper divisors (5705196).

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

3366804 is a wasteful number, since it uses less digits than its factorization.

3366804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3366804 is about 1834.8852825177. The cubic root of 3366804 is about 149.8784793559.

It can be divided in two parts, 336 and 6804, that multiplied together give a square (2286144 = 15122).

The spelling of 3366804 in words is "three million, three hundred sixty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 269 298 447 538 596 807 894 1043 1076 1614 1788 1883 2086 3129 3228 3766 4172 5649 6258 7532 11298 12516 22596 40081 80162 120243 160324 240486 280567 480972 561134 841701 1122268 1683402 3366804