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679331268 = 2232711222279
BaseRepresentation
bin101000011111011…
…100010111000100
31202100021121022100
4220133130113010
52342402100033
6151224232100
722556135430
oct5037342704
91670247270
10679331268
11319512700
1216b60b630
13aa983785
14663179c0
153e98d513
hex287dc5c4

679331268 has 108 divisors (see below), whose sum is σ = 2157238720. Its totient is φ = 176441760.

The previous prime is 679331239. The next prime is 679331297. The reversal of 679331268 is 862133976.

679331268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (679331239) and next prime (679331297).

It is a super-2 number, since 2×6793312682 = 922981943364975648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19353 + ... + 41631.

Almost surely, 2679331268 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 679331268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078619360).

679331268 is an abundant number, since it is smaller than the sum of its proper divisors (1477907452).

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

679331268 is a wasteful number, since it uses less digits than its factorization.

679331268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22318 (or 22302 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 679331268 is about 26063.9841160173. The cubic root of 679331268 is about 879.0775751094.

The spelling of 679331268 in words is "six hundred seventy-nine million, three hundred thirty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5082 7623 10164 15246 22279 30492 44558 66837 89116 133674 155953 200511 245069 267348 311906 401022 467859 490138 623812 735207 802044 935718 980276 1403577 1470414 1715483 1871436 2205621 2695759 2807154 2940828 3430966 4411242 5146449 5391518 5614308 6861932 8087277 8822484 10292898 10783036 15439347 16174554 18870313 20585796 24261831 30878694 32349108 37740626 48523662 56610939 61757388 75481252 97047324 113221878 169832817 226443756 339665634 679331268