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3332742 = 237731087
BaseRepresentation
bin1100101101101010000110
320021022122220
430231222012
51323121432
6155233210
740220310
oct14555206
96238586
103332742
111976a36
121148806
138c8c4a
1462a7b0
1545c72c
hex32da86

3332742 has 32 divisors (see below), whose sum is σ = 7729152. Its totient is φ = 938304.

The previous prime is 3332741. The next prime is 3332743. The reversal of 3332742 is 2472333.

It is a happy number.

3332742 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 (3332741) and next prime (3332743).

It is a super-2 number, since 2×33327422 = 22214338477128, which contains 22 as substring.

It is a d-powerful number, because it can be written as 36 + 313 + 313 + 213 + 7 + 46 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332741) 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 15 ways as a sum of consecutive naturals, for example, 2523 + ... + 3609.

It is an arithmetic number, because the mean of its divisors is an integer number (241536).

Almost surely, 23332742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864576).

3332742 is an abundant number, since it is smaller than the sum of its proper divisors (4396410).

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

3332742 is a wasteful number, since it uses less digits than its factorization.

3332742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172.

The product of its digits is 3024, while the sum is 24.

The square root of 3332742 is about 1825.5799078649. The cubic root of 3332742 is about 149.3713243495.

The spelling of 3332742 in words is "three million, three hundred thirty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1087 1533 2174 3066 3261 6522 7609 15218 22827 45654 79351 158702 238053 476106 555457 1110914 1666371 3332742