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311423742 = 232713718041
BaseRepresentation
bin10010100011111…
…111001011111110
3210200222222001200
4102203333023332
51114211024432
650522520330
710501025640
oct2243771376
9720888050
10311423742
1114a8772a3
12883660a6
134c69a706
142d508890
151c518a7c
hex128ff2fe

311423742 has 48 divisors (see below), whose sum is σ = 776816352. Its totient is φ = 88323840.

The previous prime is 311423729. The next prime is 311423747. The reversal of 311423742 is 247324113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311423747) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8242 + ... + 26282.

It is an arithmetic number, because the mean of its divisors is an integer number (16183674).

Almost surely, 2311423742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311423742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388408176).

311423742 is an abundant number, since it is smaller than the sum of its proper divisors (465392610).

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

311423742 is a wasteful number, since it uses less digits than its factorization.

311423742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18193 (or 18190 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 311423742 is about 17647.2021011831. The cubic root of 311423742 is about 677.8244644381.

Adding to 311423742 its reverse (247324113), we get a palindrome (558747855).

The spelling of 311423742 in words is "three hundred eleven million, four hundred twenty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2466 2877 5754 8631 17262 18041 36082 54123 108246 126287 162369 252574 324738 378861 757722 1136583 2273166 2471617 4943234 7414851 14829702 17301319 22244553 34602638 44489106 51903957 103807914 155711871 311423742