Search a number
-
+
315681345 = 32574124443
BaseRepresentation
bin10010110100001…
…110101001000001
3211000000021101200
4102310032221001
51121303300340
651154051413
710552150530
oct2264165101
9730007350
10315681345
11152215081
1289879b69
135052b5c5
142dcd6317
151caaa330
hex12d0ea41

315681345 has 48 divisors (see below), whose sum is σ = 640628352. Its totient is φ = 140785920.

The previous prime is 315681343. The next prime is 315681349. The reversal of 315681345 is 543186513.

It is not a de Polignac number, because 315681345 - 21 = 315681343 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315681341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694 + ... + 25136.

It is an arithmetic number, because the mean of its divisors is an integer number (13346424).

Almost surely, 2315681345 is an apocalyptic number.

315681345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315681345 is an abundant number, since it is smaller than the sum of its proper divisors (324947007).

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

315681345 is a wasteful number, since it uses less digits than its factorization.

315681345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24502 (or 24499 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 315681345 is about 17767.4237018201. The cubic root of 315681345 is about 680.8994333567.

The spelling of 315681345 in words is "three hundred fifteen million, six hundred eighty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 24443 73329 122215 171101 219987 366645 513303 855505 1002163 1099935 1539909 2566515 3006489 5010815 7015141 7699545 9019467 15032445 21045423 35075705 45097335 63136269 105227115 315681345