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314441140 = 225133793191
BaseRepresentation
bin10010101111011…
…111110110110100
3210220200021011011
4102233133312310
51120444104030
651111322004
710535464006
oct2257376664
9726607134
10314441140
11151548312
1289380304
13501b5c60
142da92376
151c912b2a
hex12bdfdb4

314441140 has 48 divisors (see below), whose sum is σ = 713220480. Its totient is φ = 115758720.

The previous prime is 314441137. The next prime is 314441147. The reversal of 314441140 is 41144413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314441147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96945 + ... + 100135.

It is an arithmetic number, because the mean of its divisors is an integer number (14858760).

Almost surely, 2314441140 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 314441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356610240).

314441140 is an abundant number, since it is smaller than the sum of its proper divisors (398779340).

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

314441140 is a wasteful number, since it uses less digits than its factorization.

314441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 314441140 is about 17732.4882630724. The cubic root of 314441140 is about 680.0065887482.

Adding to 314441140 its reverse (41144413), we get a palindrome (355585553).

The spelling of 314441140 in words is "three hundred fourteen million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 379 758 1516 1895 3191 3790 4927 6382 7580 9854 12764 15955 19708 24635 31910 41483 49270 63820 82966 98540 165932 207415 414830 829660 1209389 2418778 4837556 6046945 12093890 15722057 24187780 31444114 62888228 78610285 157220570 314441140