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314030440 = 23561179719
BaseRepresentation
bin10010101101111…
…011100101101000
3210212220101210001
4102231323211220
51120342433230
651054432344
710532133433
oct2255734550
9725811701
10314030440
11151297799
12892026b4
13500a1039
142d9c681a
151c8810ca
hex12b7b968

314030440 has 64 divisors (see below), whose sum is σ = 723168000. Its totient is φ = 122691840.

The previous prime is 314030429. The next prime is 314030447. The reversal of 314030440 is 44030413.

314030440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (314030447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436401 + ... + 437119.

It is an arithmetic number, because the mean of its divisors is an integer number (11299500).

Almost surely, 2314030440 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 314030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584000).

314030440 is an abundant number, since it is smaller than the sum of its proper divisors (409137560).

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

314030440 is a wasteful number, since it uses less digits than its factorization.

314030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 314030440 is about 17720.9040401442. The cubic root of 314030440 is about 679.7104014814.

Adding to 314030440 its reverse (44030413), we get a palindrome (358060853).

The spelling of 314030440 in words is "three hundred fourteen million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 179 244 305 358 488 610 716 719 895 1220 1432 1438 1790 2440 2876 3580 3595 5752 7160 7190 10919 14380 21838 28760 43676 43859 54595 87352 87718 109190 128701 175436 218380 219295 257402 350872 436760 438590 514804 643505 877180 1029608 1287010 1754360 2574020 5148040 7850761 15701522 31403044 39253805 62806088 78507610 157015220 314030440