Search a number
-
+
311140332 = 223315119079
BaseRepresentation
bin10010100010111…
…001111111101100
3210200110120022000
4102202321333230
51114122442312
650512452300
710465435446
oct2242717754
9720416260
10311140332
1114a6a3378
128824a090
134c5cb709
142d473496
151c4aeadc
hex128b9fec

311140332 has 48 divisors (see below), whose sum is σ = 812044800. Its totient is φ = 103021200.

The previous prime is 311140301. The next prime is 311140339. The reversal of 311140332 is 233041113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311140339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6769 + ... + 25847.

It is an arithmetic number, because the mean of its divisors is an integer number (16917600).

Almost surely, 2311140332 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 311140332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406022400).

311140332 is an abundant number, since it is smaller than the sum of its proper divisors (500904468).

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

311140332 is a wasteful number, since it uses less digits than its factorization.

311140332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19243 (or 19235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 311140332 is about 17639.1703886549. The cubic root of 311140332 is about 677.6187848351.

Adding to 311140332 its reverse (233041113), we get a palindrome (544181445).

The spelling of 311140332 in words is "three hundred eleven million, one hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 8154 16308 19079 38158 57237 76316 114474 171711 228948 343422 515133 686844 1030266 2060532 2880929 5761858 8642787 11523716 17285574 25928361 34571148 51856722 77785083 103713444 155570166 311140332