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3332340 = 2234511217
BaseRepresentation
bin1100101101100011110100
320021022010000
430231203310
51323113330
6155231300
740216164
oct14554364
96238100
103332340
111976700
121148530
138c89cb
1462a5a4
1545c560
hex32d8f4

3332340 has 180 divisors, whose sum is σ = 12166308. Its totient is φ = 760320.

The previous prime is 3332339. The next prime is 3332341. The reversal of 3332340 is 432333.

It is an interprime number because it is at equal distance from previous prime (3332339) and next prime (3332341).

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 1411344 = 1386^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×33323402 = 22208979751200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332341) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196012 + ... + 196028.

Almost surely, 23332340 is an apocalyptic number.

3332340 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 3332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083154).

3332340 is an abundant number, since it is smaller than the sum of its proper divisors (8833968).

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

3332340 is a wasteful number, since it uses less digits than its factorization.

3332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3332340 is about 1825.4698025440. The cubic root of 3332340 is about 149.3653183153.

Adding to 3332340 its reverse (432333), we get a palindrome (3764673).

The spelling of 3332340 in words is "three million, three hundred thirty-two thousand, three hundred forty".