Search a number
-
+
678931968 = 29311213281
BaseRepresentation
bin101000011101111…
…010111000000000
31202022112022120110
4220131322320000
52342301310333
6151211511320
722552553331
oct5035727000
91668468513
10678931968
1131926a700
1216b458540
13aa873ac0
1466252288
153e910063
hex2877ae00

678931968 has 240 divisors, whose sum is σ = 2148643728. Its totient is φ = 189235200.

The previous prime is 678931937. The next prime is 678931969. The reversal of 678931968 is 869139876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678931969) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2415988 + ... + 2416268.

Almost surely, 2678931968 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 678931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074321864).

678931968 is an abundant number, since it is smaller than the sum of its proper divisors (1469711760).

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

678931968 is a wasteful number, since it uses less digits than its factorization.

678931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 678931968 is about 26056.3229946207. The cubic root of 678931968 is about 878.9053054630.

The spelling of 678931968 in words is "six hundred seventy-eight million, nine hundred thirty-one thousand, nine hundred sixty-eight".