Search a number
-
+
314773564 = 22717411272
BaseRepresentation
bin10010110000110…
…001000000111100
3210221022011011011
4102300301000330
51121040223224
651122405004
710541350120
oct2260610074
9727264134
10314773564
11151755046
1289500764
13502a1361
142db3b580
151c97b394
hex12c3103c

314773564 has 72 divisors (see below), whose sum is σ = 688256352. Its totient is φ = 122895360.

The previous prime is 314773559. The next prime is 314773583. The reversal of 314773564 is 465377413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478469 + ... + 2478595.

It is an arithmetic number, because the mean of its divisors is an integer number (9559116).

Almost surely, 2314773564 is an apocalyptic number.

314773564 is a gapful number since it is divisible by the number (34) 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 314773564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344128176).

314773564 is an abundant number, since it is smaller than the sum of its proper divisors (373482788).

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

314773564 is a wasteful number, since it uses less digits than its factorization.

314773564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 194 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 314773564 is about 17741.8590908619. The cubic root of 314773564 is about 680.2461363866.

The spelling of 314773564 in words is "three hundred fourteen million, seven hundred seventy-three thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 127 164 238 254 287 476 508 574 697 889 1148 1394 1778 2159 2788 3556 4318 4879 5207 8636 9758 10414 15113 16129 19516 20828 30226 32258 36449 60452 64516 72898 88519 112903 145796 177038 225806 274193 354076 451612 548386 619633 661289 1096772 1239266 1322578 1919351 2478532 2645156 3838702 4629023 7677404 9258046 11241913 18516092 22483826 44967652 78693391 157386782 314773564