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3366405 = 325710687
BaseRepresentation
bin1100110101111000000101
320100000211200
430311320011
51330211110
6200053113
740420410
oct14657005
96300750
103366405
11199a259
121164199
1390b373
14638b77
154676c0
hex335e05

3366405 has 24 divisors (see below), whose sum is σ = 6669312. Its totient is φ = 1538784.

The previous prime is 3366367. The next prime is 3366409. The reversal of 3366405 is 5046633.

3366405 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 3366405 - 29 = 3365893 is a prime.

It is a super-2 number, since 2×33664052 = 22665365248050, which contains 22 as substring.

It is a d-powerful number, because it can be written as 38 + 313 + 65 + 68 + 4 + 0 + 57 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366409) 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 23 ways as a sum of consecutive naturals, for example, 5029 + ... + 5658.

It is an arithmetic number, because the mean of its divisors is an integer number (277888).

Almost surely, 23366405 is an apocalyptic number.

3366405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3366405 is a deficient number, since it is larger than the sum of its proper divisors (3302907).

3366405 is a wasteful number, since it uses less digits than its factorization.

3366405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10702 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3366405 is about 1834.7765531530. The cubic root of 3366405 is about 149.8725584216.

The spelling of 3366405 in words is "three million, three hundred sixty-six thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 10687 32061 53435 74809 96183 160305 224427 374045 480915 673281 1122135 3366405