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3342612 = 2237133061
BaseRepresentation
bin1100110000000100010100
320021211012110
430300010110
51323430422
6155351020
740261140
oct14600424
96254173
103342612
111983399
121152470
139005a0
14630220
1546060c
hex330114

3342612 has 48 divisors (see below), whose sum is σ = 9602432. Its totient is φ = 881280.

The previous prime is 3342611. The next prime is 3342623. The reversal of 3342612 is 2162433.

It is a happy number.

It is a super-2 number, since 2×33426122 = 22346109965088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439 + ... + 2622.

Almost surely, 23342612 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 3342612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801216).

3342612 is an abundant number, since it is smaller than the sum of its proper divisors (6259820).

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

3342612 is a wasteful number, since it uses less digits than its factorization.

3342612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3086 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 3342612 is about 1828.2811599970. The cubic root of 3342612 is about 149.5186346797.

The spelling of 3342612 in words is "three million, three hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 3061 6122 9183 12244 18366 21427 36732 39793 42854 64281 79586 85708 119379 128562 159172 238758 257124 278551 477516 557102 835653 1114204 1671306 3342612