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314375440 = 24512173229
BaseRepresentation
bin10010101111001…
…111110100010000
3210220112221000211
4102233033310100
51120440003230
651110053504
710535101321
oct2257176420
9726487024
10314375440
11151502a15
128934a294
1350192092
142da76448
151c8ed42a
hex12bcfd10

314375440 has 40 divisors (see below), whose sum is σ = 731750040. Its totient is φ = 125607936.

The previous prime is 314375417. The next prime is 314375443. The reversal of 314375440 is 44573413.

It can be written as a sum of positive squares in 4 ways, for example, as 5740816 + 308634624 = 2396^2 + 17568^2 .

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

It is not an unprimeable number, because it can be changed into a prime (314375443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95746 + ... + 98974.

It is an arithmetic number, because the mean of its divisors is an integer number (18293751).

Almost surely, 2314375440 is an apocalyptic number.

It is an amenable number.

314375440 is an abundant number, since it is smaller than the sum of its proper divisors (417374600).

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

314375440 is a wasteful number, since it uses less digits than its factorization.

314375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 314375440 is about 17730.6356344041. The cubic root of 314375440 is about 679.9592247753.

The spelling of 314375440 in words is "three hundred fourteen million, three hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1217 2434 3229 4868 6085 6458 9736 12170 12916 16145 19472 24340 25832 32290 48680 51664 64580 97360 129160 258320 3929693 7859386 15718772 19648465 31437544 39296930 62875088 78593860 157187720 314375440