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315400014 = 233173111083
BaseRepresentation
bin10010110011001…
…001111101001110
3210222110222111000
4102303021331032
51121220300024
651144041130
710546566366
oct2263117516
9728428430
10315400014
11152042776
12897631a6
1350460537
142dc619a6
151ca51cc9
hex12cc9f4e

315400014 has 64 divisors (see below), whose sum is σ = 766126080. Its totient is φ = 95748480.

The previous prime is 315400013. The next prime is 315400037. The reversal of 315400014 is 410004513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 315400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315400013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22917 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (11970720).

Almost surely, 2315400014 is an apocalyptic number.

315400014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315400014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383063040).

315400014 is an abundant number, since it is smaller than the sum of its proper divisors (450726066).

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

315400014 is a wasteful number, since it uses less digits than its factorization.

315400014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 315400014 is about 17759.5048917474. The cubic root of 315400014 is about 680.6971037456.

Adding to 315400014 its reverse (410004513), we get a palindrome (725404527).

It can be divided in two parts, 31 and 5400014, that added together give a palindrome (5400045).

The spelling of 315400014 in words is "three hundred fifteen million, four hundred thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1674 3162 4743 9486 11083 14229 22166 28458 33249 66498 99747 188411 199494 299241 343573 376822 565233 598482 687146 1030719 1130466 1695699 2061438 3092157 3391398 5087097 5840741 6184314 9276471 10174194 11681482 17522223 18552942 35044446 52566669 105133338 157700007 315400014