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679344384 = 2837911197
BaseRepresentation
bin101000011111011…
…111100100000000
31202100022021022010
4220133133210000
52342403010014
6151224412520
722556221605
oct5037374400
91670267263
10679344384
11319521544
1216b617140
13aa989734
146631c6ac
153e992359
hex287df900

679344384 has 72 divisors (see below), whose sum is σ = 1831096960. Its totient is φ = 223561728.

The previous prime is 679344359. The next prime is 679344397. The reversal of 679344384 is 483443976.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55074 + ... + 66270.

Almost surely, 2679344384 is an apocalyptic number.

679344384 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 679344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915548480).

679344384 is an abundant number, since it is smaller than the sum of its proper divisors (1151752576).

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

679344384 is a wasteful number, since it uses less digits than its factorization.

679344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11295 (or 11281 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 679344384 is about 26064.2357263742. The cubic root of 679344384 is about 879.0832325885.

The spelling of 679344384 in words is "six hundred seventy-nine million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 11197 15168 20224 22394 30336 33591 44788 60672 67182 89576 134364 179152 268728 358304 537456 716608 884563 1074912 1433216 1769126 2149824 2653689 2866432 3538252 4299648 5307378 7076504 8599296 10614756 14153008 21229512 28306016 42459024 56612032 84918048 113224064 169836096 226448128 339672192 679344384