Search a number
-
+
314230788 = 2232173713877
BaseRepresentation
bin10010101110101…
…100100000000100
3210220021120121100
4102232230200010
51120420341123
651103020100
710533626514
oct2256544004
9726246540
10314230788
11151414273
128929a630
13501412a1
142da39844
151c8c0643
hex12bac804

314230788 has 72 divisors (see below), whose sum is σ = 863822232. Its totient is φ = 95910912.

The previous prime is 314230769. The next prime is 314230793. The reversal of 314230788 is 887032413.

314230788 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 238331844 = 8712^2 + 15438^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15706 + ... + 29582.

It is an arithmetic number, because the mean of its divisors is an integer number (11997531).

Almost surely, 2314230788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314230788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431911116).

314230788 is an abundant number, since it is smaller than the sum of its proper divisors (549591444).

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

314230788 is a wasteful number, since it uses less digits than its factorization.

314230788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13941 (or 13936 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 314230788 is about 17726.5560106863. The cubic root of 314230788 is about 679.8549200294.

It can be divided in two parts, 3142 and 30788, that added together give a triangular number (33930 = T260).

The spelling of 314230788 in words is "three hundred fourteen million, two hundred thirty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 13877 22644 27754 41631 55508 83262 124893 166524 235909 249786 471818 499572 513449 707727 943636 1026898 1415454 1540347 2053796 2123181 2830908 3080694 4246362 4621041 6161388 8492724 8728633 9242082 17457266 18484164 26185899 34914532 52371798 78557697 104743596 157115394 314230788