Search a number
-
+
314123340 = 223537141497
BaseRepresentation
bin10010101110010…
…010010001001100
3210220002010012210
4102232102101030
51120403421330
651100430420
710533001326
oct2256222114
9726063183
10314123340
11151350573
1289248410
13501043cb
142da0c616
151c89d8b0
hex12b9244c

314123340 has 48 divisors (see below), whose sum is σ = 903323232. Its totient is φ = 81501696.

The previous prime is 314123317. The next prime is 314123363. The reversal of 314123340 is 43321413.

It is an interprime number because it is at equal distance from previous prime (314123317) and next prime (314123363).

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, 68529 + ... + 72968.

It is an arithmetic number, because the mean of its divisors is an integer number (18819234).

Almost surely, 2314123340 is an apocalyptic number.

314123340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314123340 is an abundant number, since it is smaller than the sum of its proper divisors (589199892).

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

314123340 is a wasteful number, since it uses less digits than its factorization.

314123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141546 (or 141544 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314123340 is about 17723.5250444148. The cubic root of 314123340 is about 679.7774213862. Note that the first 3 decimals are identical.

Adding to 314123340 its reverse (43321413), we get a palindrome (357444753).

The spelling of 314123340 in words is "three hundred fourteen million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 141497 282994 424491 565988 707485 848982 1414970 1697964 2122455 2829940 4244910 5235389 8489820 10470778 15706167 20941556 26176945 31412334 52353890 62824668 78530835 104707780 157061670 314123340