Search a number
-
+
319279240 = 235711310091
BaseRepresentation
bin10011000001111…
…101000010001000
3211020210001210001
4103001331002020
51123213413430
651403132344
710624554160
oct2301750210
9736701701
10319279240
11154252245
128ab140b4
13511bb137
14305915a0
151d06b3ca
hex1307d088

319279240 has 64 divisors (see below), whose sum is σ = 828351360. Its totient is φ = 108487680.

The previous prime is 319279237. The next prime is 319279271. The reversal of 319279240 is 42972913.

It is a self number, because there is not a number n which added to its sum of digits gives 319279240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26595 + ... + 36685.

It is an arithmetic number, because the mean of its divisors is an integer number (12942990).

Almost surely, 2319279240 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 319279240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414175680).

319279240 is an abundant number, since it is smaller than the sum of its proper divisors (509072120).

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

319279240 is a wasteful number, since it uses less digits than its factorization.

319279240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 319279240 is about 17868.3866087568. The cubic root of 319279240 is about 683.4764583539.

The spelling of 319279240 in words is "three hundred nineteen million, two hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 7910 10091 15820 20182 31640 40364 50455 70637 80728 100910 141274 201820 282548 353185 403640 565096 706370 1140283 1412740 2280566 2825480 4561132 5701415 7981981 9122264 11402830 15963962 22805660 31927924 39909905 45611320 63855848 79819810 159639620 319279240