Search a number
-
+
314492706 = 23411315693
BaseRepresentation
bin10010101111101…
…100011100100010
3210220202212220000
4102233230130202
51121002231311
651112400430
710536100233
oct2257543442
9726685800
10314492706
11151583030
12893a6116
1350203578
142daa708a
151c923056
hex12bec722

314492706 has 80 divisors (see below), whose sum is σ = 793698048. Its totient is φ = 92210400.

The previous prime is 314492677. The next prime is 314492713. The reversal of 314492706 is 607294413.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52396 + ... + 58088.

Almost surely, 2314492706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314492706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396849024).

314492706 is an abundant number, since it is smaller than the sum of its proper divisors (479205342).

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

314492706 is a wasteful number, since it uses less digits than its factorization.

314492706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 314492706 is about 17733.9422013268. The cubic root of 314492706 is about 680.0437587180.

The spelling of 314492706 in words is "three hundred fourteen million, four hundred ninety-two thousand, seven hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 558 594 682 837 891 1023 1674 1782 2046 2511 3069 5022 5693 6138 9207 11386 17079 18414 27621 34158 51237 55242 62623 102474 125246 153711 176483 187869 307422 352966 375738 461133 529449 563607 922266 1058898 1127214 1588347 1690821 1941313 3176694 3381642 3882626 4765041 5072463 5823939 9530082 10144926 11647878 14295123 17471817 28590246 34943634 52415451 104830902 157246353 314492706