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3331368 = 23345397
BaseRepresentation
bin1100101101010100101000
320021020210000
430231110220
51323100433
6155223000
740213305
oct14552450
96236700
103331368
1119759a7
121147a60
138c8431
1462a0ac
1545c113
hex32d528

3331368 has 80 divisors (see below), whose sum is σ = 9604980. Its totient is φ = 1078272.

The previous prime is 3331357. The next prime is 3331381. The reversal of 3331368 is 8631333.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 26244 = 1818^2 + 162^2 .

It is a super-2 number, since 2×33313682 = 22196025502848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34296 + ... + 34392.

Almost surely, 23331368 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 3331368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802490).

3331368 is an abundant number, since it is smaller than the sum of its proper divisors (6273612).

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

3331368 is a wasteful number, since it uses less digits than its factorization.

3331368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3331368 is about 1825.2035502924. The cubic root of 3331368 is about 149.3507942664.

The spelling of 3331368 in words is "three million, three hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 97 106 108 159 162 194 212 216 291 318 324 388 424 477 582 636 648 776 873 954 1164 1272 1431 1746 1908 2328 2619 2862 3492 3816 4293 5141 5238 5724 6984 7857 8586 10282 10476 11448 15423 15714 17172 20564 20952 30846 31428 34344 41128 46269 61692 62856 92538 123384 138807 185076 277614 370152 416421 555228 832842 1110456 1665684 3331368