Search a number
-
+
67984968 = 2338334129
BaseRepresentation
bin1000000110101…
…01111001001000
311201220222211210
410003111321020
5114401004333
610425053120
71453601622
oct403257110
9151828753
1067984968
1135415127
121a9271a0
13111145bc
149059c12
155e7da63
hex40d5e48

67984968 has 32 divisors (see below), whose sum is σ = 172015200. Its totient is φ = 22387968.

The previous prime is 67984919. The next prime is 67984979. The reversal of 67984968 is 86948976.

It is a super-2 number, since 2×679849682 = 9243911747922048, which contains 22 as substring.

It is a plaindrome in base 13.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15073 + ... + 19056.

It is an arithmetic number, because the mean of its divisors is an integer number (5375475).

Almost surely, 267984968 is an apocalyptic number.

It is an amenable number.

67984968 is an abundant number, since it is smaller than the sum of its proper divisors (104030232).

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

67984968 is a wasteful number, since it uses less digits than its factorization.

67984968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34221 (or 34217 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 67984968 is about 8245.2997519799. The cubic root of 67984968 is about 408.1354317794.

The spelling of 67984968 in words is "sixty-seven million, nine hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 34129 68258 102387 136516 204774 273032 409548 819096 2832707 5665414 8498121 11330828 16996242 22661656 33992484 67984968