Search a number
-
+
314150655 = 357131912113
BaseRepresentation
bin10010101110011…
…000111011111111
3210220010111200110
4102232120323333
51120410310110
651101201103
710533144060
oct2256307377
9726114613
10314150655
1115136a045
1289260193
1350113980
142da18567
151c8a6a20
hex12b98eff

314150655 has 64 divisors (see below), whose sum is σ = 651248640. Its totient is φ = 125577216.

The previous prime is 314150623. The next prime is 314150657. The reversal of 314150655 is 556051413.

It is not a de Polignac number, because 314150655 - 25 = 314150623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314150657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19879 + ... + 31991.

It is an arithmetic number, because the mean of its divisors is an integer number (10175760).

Almost surely, 2314150655 is an apocalyptic number.

314150655 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

314150655 is an abundant number, since it is smaller than the sum of its proper divisors (337097985).

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

314150655 is a wasteful number, since it uses less digits than its factorization.

314150655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12160.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 314150655 is about 17724.2956136485. The cubic root of 314150655 is about 679.7971244558.

The spelling of 314150655 in words is "three hundred fourteen million, one hundred fifty thousand, six hundred fifty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 91 95 105 133 195 247 273 285 399 455 665 741 1235 1365 1729 1995 3705 5187 8645 12113 25935 36339 60565 84791 157469 181695 230147 254373 423955 472407 690441 787345 1102283 1150735 1271865 1611029 2362035 2991911 3306849 3452205 4833087 5511415 8055145 8975733 14959555 16534245 20943377 24165435 44878665 62830131 104716885 314150655