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3316968 = 2332232003
BaseRepresentation
bin1100101001110011101000
320020112000200
430221303220
51322120333
6155032200
740123314
oct14516350
96215020
103316968
1119660a6
12113b660
138c1a05
14624b44
15457c13
hex329ce8

3316968 has 48 divisors (see below), whose sum is σ = 9378720. Its totient is φ = 1057056.

The previous prime is 3316967. The next prime is 3316981. The reversal of 3316968 is 8696133.

It is a happy number.

3316968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33169682 = 22004553426048, which contains 22 as substring.

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

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3316961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 655 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (195390).

Almost surely, 23316968 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 3316968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689360).

3316968 is an abundant number, since it is smaller than the sum of its proper divisors (6061752).

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

3316968 is a wasteful number, since it uses less digits than its factorization.

3316968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2031 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3316968 is about 1821.2545126917. The cubic root of 3316968 is about 149.1352914394.

The spelling of 3316968 in words is "three million, three hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2003 4006 6009 8012 12018 16024 18027 24036 36054 46069 48072 72108 92138 138207 144216 184276 276414 368552 414621 552828 829242 1105656 1658484 3316968