Search a number
-
+
3342504 = 2331121151
BaseRepresentation
bin1100110000000010101000
320021211001110
430300002220
51323430004
6155350320
740260624
oct14600250
96254043
103342504
111983300
1211523a0
13900519
14630184
15460589
hex3300a8

3342504 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1012000.

The previous prime is 3342503. The next prime is 3342509. The reversal of 3342504 is 4052433.

It is a happy number.

It is a super-2 number, since 2×33425042 = 22344665980032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342503) 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 11 ways as a sum of consecutive naturals, for example, 2329 + ... + 3479.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23342504 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 3342504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3342504 is an abundant number, since it is smaller than the sum of its proper divisors (5850456).

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

3342504 is a wasteful number, since it uses less digits than its factorization.

3342504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3342504 is about 1828.2516238199. The cubic root of 3342504 is about 149.5170243436.

Adding to 3342504 its reverse (4052433), we get a palindrome (7394937).

The spelling of 3342504 in words is "three million, three hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1151 1452 2302 2904 3453 4604 6906 9208 12661 13812 25322 27624 37983 50644 75966 101288 139271 151932 278542 303864 417813 557084 835626 1114168 1671252 3342504