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311930424 = 233213379007
BaseRepresentation
bin10010100101111…
…010111000111000
3210201221201002200
4102211322320320
51114323233144
650541430200
710505236101
oct2245727070
9721851080
10311930424
11150092a43
128856b360
134c817220
142d5db3a8
151c5b8c69
hex1297ae38

311930424 has 96 divisors (see below), whose sum is σ = 934489920. Its totient is φ = 93374208.

The previous prime is 311930417. The next prime is 311930441. The reversal of 311930424 is 424039113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30129 + ... + 39135.

It is an arithmetic number, because the mean of its divisors is an integer number (9734270).

Almost surely, 2311930424 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 311930424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467244960).

311930424 is an abundant number, since it is smaller than the sum of its proper divisors (622559496).

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

311930424 is a wasteful number, since it uses less digits than its factorization.

311930424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 311930424 is about 17661.5521401716. The cubic root of 311930424 is about 678.1918688447.

Adding to 311930424 its reverse (424039113), we get a palindrome (735969537).

The spelling of 311930424 in words is "three hundred eleven million, nine hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2664 2886 3848 4329 5772 8658 9007 11544 17316 18014 27021 34632 36028 54042 72056 81063 108084 117091 162126 216168 234182 324252 333259 351273 468364 648504 666518 702546 936728 999777 1053819 1333036 1405092 1999554 2107638 2666072 2810184 2999331 3999108 4215276 4332367 5998662 7998216 8430552 8664734 11997324 12997101 17329468 23994648 25994202 34658936 38991303 51988404 77982606 103976808 155965212 311930424