| Base | Representation |
|---|---|
| bin | 10010101111011… |
| … | …111111010111000 |
| 3 | 210220200021111210 |
| 4 | 102233133322320 |
| 5 | 1120444111100 |
| 6 | 51111323120 |
| 7 | 10535464530 |
| oct | 2257377270 |
| 9 | 726607453 |
| 10 | 314441400 |
| 11 | 151548529 |
| 12 | 893804a0 |
| 13 | 501b6100 |
| 14 | 2da924c0 |
| 15 | 1c912c50 |
| hex | 12bdfeb8 |
314441400 has 288 divisors, whose sum is σ = 1209029760. Its totient is φ = 66193920.
The previous prime is 314441399. The next prime is 314441411. The reversal of 314441400 is 4144413.
314441400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is an unprimeable number.
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 71 ways as a sum of consecutive naturals, for example, 709579 + ... + 710021.
It is an arithmetic number, because the mean of its divisors is an integer number (4198020).
Almost surely, 2314441400 is an apocalyptic number.
314441400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 314441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604514880).
314441400 is an abundant number, since it is smaller than the sum of its proper divisors (894588360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314441400 is a wasteful number, since it uses less digits than its factorization.
314441400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 495 (or 473 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 314441400 is about 17732.4955942473. The cubic root of 314441400 is about 680.0067761724.
Adding to 314441400 its reverse (4144413), we get a palindrome (318585813).
It can be divided in two parts, 3144 and 41400, that added together give a palindrome (44544).
The spelling of 314441400 in words is "three hundred fourteen million, four hundred forty-one thousand, four hundred".
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