Search a number
-
+
31268424 = 23311831427
BaseRepresentation
bin111011101000…
…1111001001000
32011211121012210
41313101321020
531001042144
63034105120
7526530405
oct167217110
964747183
1031268424
1116717480
12a57b1a0
13662a435
14421d2ac
152b29ab9
hex1dd1e48

31268424 has 64 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 9354560.

The previous prime is 31268401. The next prime is 31268443. The reversal of 31268424 is 42486213.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31268391 and 31268400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21199 + ... + 22625.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 231268424 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 31268424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

31268424 is an abundant number, since it is smaller than the sum of its proper divisors (55097016).

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

31268424 is a wasteful number, since it uses less digits than its factorization.

31268424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 31268424 is about 5591.8175935916. The cubic root of 31268424 is about 315.0421510739.

The spelling of 31268424 in words is "thirty-one million, two hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 664 913 996 1427 1826 1992 2739 2854 3652 4281 5478 5708 7304 8562 10956 11416 15697 17124 21912 31394 34248 47091 62788 94182 118441 125576 188364 236882 355323 376728 473764 710646 947528 1302851 1421292 2605702 2842584 3908553 5211404 7817106 10422808 15634212 31268424