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3366104 = 237231277
BaseRepresentation
bin1100110101110011011000
320100000102112
430311303120
51330203404
6200051452
740416500
oct14656330
96300375
103366104
11199a005
121163b88
1390b1a1
14638a00
1546756e
hex335cd8

3366104 has 48 divisors (see below), whose sum is σ = 7606080. Its totient is φ = 1391040.

The previous prime is 3366089. The next prime is 3366107. The reversal of 3366104 is 4016633.

It is a super-2 number, since 2×33661042 = 22661312277632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3366104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12014 + ... + 12290.

It is an arithmetic number, because the mean of its divisors is an integer number (158460).

Almost surely, 23366104 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 3366104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803040).

3366104 is an abundant number, since it is smaller than the sum of its proper divisors (4239976).

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

3366104 is a wasteful number, since it uses less digits than its factorization.

3366104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3366104 is about 1834.6945249823. The cubic root of 3366104 is about 149.8680914423.

The spelling of 3366104 in words is "three million, three hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 277 392 434 554 868 1108 1519 1736 1939 2216 3038 3878 6076 7756 8587 12152 13573 15512 17174 27146 34348 54292 60109 68696 108584 120218 240436 420763 480872 841526 1683052 3366104