Search a number
-
+
314363130 = 23589281419
BaseRepresentation
bin10010101111001…
…100110011111010
3210220112022010220
4102233030303322
51120434110010
651105520510
710535020404
oct2257146372
9726468126
10314363130
111514a4744
1289343136
13501895b3
142da71b74
151c8e9970
hex12bcccfa

314363130 has 64 divisors (see below), whose sum is σ = 767491200. Its totient is φ = 82396160.

The previous prime is 314363123. The next prime is 314363131. The reversal of 314363130 is 31363413.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314363130.

It is not an unprimeable number, because it can be changed into a prime (314363131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750061 + ... + 750479.

It is an arithmetic number, because the mean of its divisors is an integer number (11992050).

Almost surely, 2314363130 is an apocalyptic number.

314363130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314363130 is an abundant number, since it is smaller than the sum of its proper divisors (453128070).

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

314363130 is a wasteful number, since it uses less digits than its factorization.

314363130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 314363130 is about 17730.2884917308. The cubic root of 314363130 is about 679.9503496044.

The spelling of 314363130 in words is "three hundred fourteen million, three hundred sixty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 89 178 267 281 419 445 534 562 838 843 890 1257 1335 1405 1686 2095 2514 2670 2810 4190 4215 6285 8430 12570 25009 37291 50018 74582 75027 111873 117739 125045 150054 186455 223746 235478 250090 353217 372910 375135 559365 588695 706434 750270 1118730 1177390 1766085 3532170 10478771 20957542 31436313 52393855 62872626 104787710 157181565 314363130