Search a number
-
+
3320968 = 237311913
BaseRepresentation
bin1100101010110010001000
320020201111211
430222302020
51322232333
6155102504
740141060
oct14526210
96221454
103320968
111969102
121141a34
138c3791
146263a0
15458ecd
hex32ac88

3320968 has 32 divisors (see below), whose sum is σ = 7349760. Its totient is φ = 1376640.

The previous prime is 3320939. The next prime is 3320969. The reversal of 3320968 is 8690233.

It is a happy number.

It is a super-2 number, since 2×33209682 = 22057656914048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3320969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780 + ... + 2692.

It is an arithmetic number, because the mean of its divisors is an integer number (229680).

Almost surely, 23320968 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 3320968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674880).

3320968 is an abundant number, since it is smaller than the sum of its proper divisors (4028792).

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

3320968 is a wasteful number, since it uses less digits than its factorization.

3320968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3320968 is about 1822.3523259787. The cubic root of 3320968 is about 149.1952157973.

The spelling of 3320968 in words is "three million, three hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 1913 3826 7652 13391 15304 26782 53564 59303 107128 118606 237212 415121 474424 830242 1660484 3320968