Search a number
-
+
3367656 = 23345197
BaseRepresentation
bin1100110110001011101000
320100002120000
430312023220
51330231111
6200103000
740424145
oct14661350
96302500
103367656
1119a0196
121164a60
1390bac6
146393cc
15467c56
hex3362e8

3367656 has 40 divisors (see below), whose sum is σ = 9434370. Its totient is φ = 1122336.

The previous prime is 3367613. The next prime is 3367669. The reversal of 3367656 is 6567633.

3367656 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 only one way, i.e., 2924100 + 443556 = 1710^2 + 666^2 .

It is a super-2 number, since 2×33676562 = 22682213868672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3367656.

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 9 ways as a sum of consecutive naturals, for example, 1951 + ... + 3246.

Almost surely, 23367656 is an apocalyptic number.

3367656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3367656 is an abundant number, since it is smaller than the sum of its proper divisors (6066714).

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

3367656 is a wasteful number, since it uses less digits than its factorization.

3367656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5202 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 3367656 is about 1835.1174349343. The cubic root of 3367656 is about 149.8911209882.

The spelling of 3367656 in words is "three million, three hundred sixty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5197 10394 15591 20788 31182 41576 46773 62364 93546 124728 140319 187092 280638 374184 420957 561276 841914 1122552 1683828 3367656