Search a number
-
+
314274160 = 24529135463
BaseRepresentation
bin10010101110110…
…111000101110000
3210220100210002201
4102232313011300
51120423233120
651103552544
710534200124
oct2256670560
9726323081
10314274160
11151443912
12892bb754
1350157c55
142da4b584
151c8cd40a
hex12bb7170

314274160 has 40 divisors (see below), whose sum is σ = 755889120. Its totient is φ = 121373952.

The previous prime is 314274157. The next prime is 314274199. The reversal of 314274160 is 61472413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65412 + ... + 70051.

It is an arithmetic number, because the mean of its divisors is an integer number (18897228).

Almost surely, 2314274160 is an apocalyptic number.

It is an amenable number.

314274160 is an abundant number, since it is smaller than the sum of its proper divisors (441614960).

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

314274160 is a wasteful number, since it uses less digits than its factorization.

314274160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135505 (or 135499 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 314274160 is about 17727.7793307566. The cubic root of 314274160 is about 679.8861977952.

The spelling of 314274160 in words is "three hundred fourteen million, two hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 135463 270926 541852 677315 1083704 1354630 2167408 2709260 3928427 5418520 7856854 10837040 15713708 19642135 31427416 39284270 62854832 78568540 157137080 314274160