Search a number
-
+
314276160 = 26351129761
BaseRepresentation
bin10010101110110…
…111100101000000
3210220100212211210
4102232313211000
51120423314120
651104010120
710534206012
oct2256674500
9726325753
10314276160
11151445370
1289300940
1350158b33
142da4c1b2
151c8cdce0
hex12bb7940

314276160 has 112 divisors (see below), whose sum is σ = 1088574912. Its totient is φ = 76185600.

The previous prime is 314276143. The next prime is 314276173. The reversal of 314276160 is 61672413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321 + ... + 25440.

Almost surely, 2314276160 is an apocalyptic number.

314276160 is a gapful number since it is divisible by the number (30) 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 314276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544287456).

314276160 is an abundant number, since it is smaller than the sum of its proper divisors (774298752).

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

314276160 is a wasteful number, since it uses less digits than its factorization.

314276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29792 (or 29782 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 314276160 is about 17727.8357393112. The cubic root of 314276160 is about 679.8876400280.

The spelling of 314276160 in words is "three hundred fourteen million, two hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 29761 59522 89283 119044 148805 178566 238088 297610 327371 357132 446415 476176 595220 654742 714264 892830 952352 982113 1190440 1309484 1428528 1636855 1785660 1904704 1964226 2380880 2618968 2857056 3273710 3571320 3928452 4761760 4910565 5237936 5714112 6547420 7142640 7856904 9523520 9821130 10475872 13094840 14285280 15713808 19642260 20951744 26189680 28570560 31427616 39284520 52379360 62855232 78569040 104758720 157138080 314276160