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3342120 = 233527851
BaseRepresentation
bin1100101111111100101000
320021210112020
430233330220
51323421440
6155344440
740256535
oct14577450
96253466
103342120
111982a91
121152120
139002b2
1462dd8c
154603d0
hex32ff28

3342120 has 32 divisors (see below), whose sum is σ = 10026720. Its totient is φ = 891200.

The previous prime is 3342113. The next prime is 3342133. The reversal of 3342120 is 212433.

It is a super-2 number, since 2×33421202 = 22339532188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3342120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13806 + ... + 14045.

It is an arithmetic number, because the mean of its divisors is an integer number (313335).

Almost surely, 23342120 is an apocalyptic number.

3342120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342120 is an abundant number, since it is smaller than the sum of its proper divisors (6684600).

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

3342120 is a wasteful number, since it uses less digits than its factorization.

3342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27865 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3342120 is about 1828.1466024365. The cubic root of 3342120 is about 149.5112984231.

Adding to 3342120 its reverse (212433), we get a palindrome (3554553).

The spelling of 3342120 in words is "three million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 27851 55702 83553 111404 139255 167106 222808 278510 334212 417765 557020 668424 835530 1114040 1671060 3342120