Search a number
-
+
331344342 = 232723911003
BaseRepresentation
bin10011101111111…
…110100111010110
3212002111000222200
4103233332213112
51134311004332
652513505330
711132244330
oct2357764726
9762430880
10331344342
111600429aa
1292b72246
1353853954
1432012450
151e15117c
hex13bfe9d6

331344342 has 48 divisors (see below), whose sum is σ = 823979520. Its totient is φ = 94265136.

The previous prime is 331344301. The next prime is 331344359. The reversal of 331344342 is 243443133.

331344342 is a `hidden beast` number, since 3 + 313 + 4 + 4 + 342 = 666.

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, 24613 + ... + 35615.

It is an arithmetic number, because the mean of its divisors is an integer number (17166240).

Almost surely, 2331344342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331344342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411989760).

331344342 is an abundant number, since it is smaller than the sum of its proper divisors (492635178).

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

331344342 is a wasteful number, since it uses less digits than its factorization.

331344342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11257 (or 11254 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 331344342 is about 18202.8663127542. The cubic root of 331344342 is about 691.9794326586.

Adding to 331344342 its reverse (243443133), we get a palindrome (574787475).

The spelling of 331344342 in words is "three hundred thirty-one million, three hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5019 10038 11003 15057 22006 30114 33009 66018 77021 99027 154042 198054 231063 462126 693189 1386378 2629717 5259434 7889151 15778302 18408019 23667453 36816038 47334906 55224057 110448114 165672171 331344342