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3290040 = 23325131937
BaseRepresentation
bin1100100011001110111000
320012011002100
430203032320
51320240130
6154303400
736651645
oct14431670
96164070
103290040
111947946
121127b60
138b2690
14618dcc
1544ec60
hex3233b8

3290040 has 192 divisors, whose sum is σ = 12448800. Its totient is φ = 746496.

The previous prime is 3290039. The next prime is 3290041. The reversal of 3290040 is 400923.

3290040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3290039) and next prime (3290041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3289995 and 3290022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290041) 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 47 ways as a sum of consecutive naturals, for example, 88902 + ... + 88938.

Almost surely, 23290040 is an apocalyptic number.

3290040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224400).

3290040 is an abundant number, since it is smaller than the sum of its proper divisors (9158760).

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

3290040 is a wasteful number, since it uses less digits than its factorization.

3290040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3290040 is about 1813.8467410451. The cubic root of 3290040 is about 148.7306214899.

Adding to 3290040 its reverse (400923), we get a palindrome (3690963).

The spelling of 3290040 in words is "three million, two hundred ninety thousand, forty".