Search a number
-
+
678367768 = 231329376079
BaseRepresentation
bin101000011011110…
…001001000011000
31202021110122122011
4220123301020120
52342130232033
6151151435304
722545013411
oct5033611030
91667418564
10678367768
11318a14821
1216b225b34
13aa707060
1466146808
153e84cccd
hex286f1218

678367768 has 64 divisors (see below), whose sum is σ = 1455552000. Its totient is φ = 294077952.

The previous prime is 678367759. The next prime is 678367771. The reversal of 678367768 is 867763876.

It is a happy number.

It is a super-2 number, since 2×6783677682 = 920365657322603648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108553 + ... + 114631.

It is an arithmetic number, because the mean of its divisors is an integer number (22743000).

Almost surely, 2678367768 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 678367768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727776000).

678367768 is an abundant number, since it is smaller than the sum of its proper divisors (777184232).

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

678367768 is a wasteful number, since it uses less digits than its factorization.

678367768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6160 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 58.

The square root of 678367768 is about 26045.4941976535. The cubic root of 678367768 is about 878.6617779716.

The spelling of 678367768 in words is "six hundred seventy-eight million, three hundred sixty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 29 37 52 58 74 104 116 148 232 296 377 481 754 962 1073 1508 1924 2146 3016 3848 4292 6079 8584 12158 13949 24316 27898 48632 55796 79027 111592 158054 176291 224923 316108 352582 449846 632216 705164 899692 1410328 1799384 2291783 2923999 4583566 5847998 6522767 9167132 11695996 13045534 18334264 23391992 26091068 52182136 84795971 169591942 339183884 678367768