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3333906 = 233107577
BaseRepresentation
bin1100101101111100010010
320021101021000
430231330102
51323141111
6155242430
740223562
oct14557422
96241230
103333906
1119778a4
121149416
138c9634
1462ada2
1545cc56
hex32df12

3333906 has 32 divisors (see below), whose sum is σ = 7490880. Its totient is φ = 1099008.

The previous prime is 3333901. The next prime is 3333907. The reversal of 3333906 is 6093333.

It is a super-2 number, since 2×33339062 = 22229858433672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3333906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 6066.

It is an arithmetic number, because the mean of its divisors is an integer number (234090).

Almost surely, 23333906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440).

3333906 is an abundant number, since it is smaller than the sum of its proper divisors (4156974).

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

3333906 is a wasteful number, since it uses less digits than its factorization.

3333906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 3333906 is about 1825.8986828409. The cubic root of 3333906 is about 149.3887122325.

The spelling of 3333906 in words is "three million, three hundred thirty-three thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 577 642 963 1154 1731 1926 2889 3462 5193 5778 10386 15579 31158 61739 123478 185217 370434 555651 1111302 1666953 3333906