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3335104 = 2631412
BaseRepresentation
bin1100101110001111000000
320021102220101
430232033000
51323210404
6155252144
740230223
oct14561700
96242811
103335104
111978793
12114a054
138ca046
1462b5ba
1545d2a4
hex32e3c0

3335104 has 42 divisors (see below), whose sum is σ = 7002272. Its totient is φ = 1574400.

The previous prime is 3335099. The next prime is 3335113. The reversal of 3335104 is 4015333.

3335104 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 2×33351042 = 22245837381632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81324 + ... + 81364.

Almost surely, 23335104 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 3335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501136).

3335104 is an abundant number, since it is smaller than the sum of its proper divisors (3667168).

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

3335104 is an equidigital number, since it uses as much as digits as its factorization.

3335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3335104 is about 1826.2267110082. The cubic root of 3335104 is about 149.4066037832.

The spelling of 3335104 in words is "three million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1681 1984 2542 2624 3362 5084 6724 10168 13448 20336 26896 40672 52111 53792 81344 104222 107584 208444 416888 833776 1667552 3335104