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678671424 = 26322414889
BaseRepresentation
bin101000011100111…
…011010001000000
31202022001002011200
4220130323101000
52342214441144
6151202141200
722550416614
oct5034732100
91668032150
10678671424
11319101982
1216b351800
13aa7b2332
14661c5344
153e8acc69
hex2873b440

678671424 has 84 divisors (see below), whose sum is σ = 1953760380. Its totient is φ = 225239040.

The previous prime is 678671417. The next prime is 678671443. The reversal of 678671424 is 424176876.

It can be written as a sum of positive squares in 2 ways, for example, as 492840000 + 185831424 = 22200^2 + 13632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 678671424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136372 + ... + 141260.

Almost surely, 2678671424 is an apocalyptic number.

678671424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976880190).

678671424 is an abundant number, since it is smaller than the sum of its proper divisors (1275088956).

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

678671424 is a wasteful number, since it uses less digits than its factorization.

678671424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5135 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 678671424 is about 26051.3228838767. The cubic root of 678671424 is about 878.7928627768.

It can be divided in two parts, 6786 and 71424, that added together give a triangular number (78210 = T395).

The spelling of 678671424 in words is "six hundred seventy-eight million, six hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 1446 1928 2169 2892 3856 4338 4889 5784 7712 8676 9778 11568 14667 15424 17352 19556 23136 29334 34704 39112 44001 46272 58668 69408 78224 88002 117336 138816 156448 176004 234672 312896 352008 469344 704016 938688 1178249 1408032 2356498 2816064 3534747 4712996 7069494 9425992 10604241 14138988 18851984 21208482 28277976 37703968 42416964 56555952 75407936 84833928 113111904 169667856 226223808 339335712 678671424