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311104242 = 23217283569
BaseRepresentation
bin10010100010110…
…001001011110010
3210200101201210100
4102202301023302
51114120313432
650512013230
710465225311
oct2242611362
9720351710
10311104242
1114a679249
1288231216
134c5b8167
142d464278
151c4a407c
hex128b12f2

311104242 has 12 divisors (see below), whose sum is σ = 674059230. Its totient is φ = 103701408.

The previous prime is 311104231. The next prime is 311104247. The reversal of 311104242 is 242401113.

It can be written as a sum of positive squares in only one way, i.e., 294774561 + 16329681 = 17169^2 + 4041^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17283569 = 311104242 / (3 + 1 + 1 + 1 + 0 + 4 + 2 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (311104247) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8641767 + ... + 8641802.

Almost surely, 2311104242 is an apocalyptic number.

311104242 is an abundant number, since it is smaller than the sum of its proper divisors (362954988).

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

311104242 is a wasteful number, since it uses less digits than its factorization.

311104242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17283577 (or 17283574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 311104242 is about 17638.1473516920. The cubic root of 311104242 is about 677.5925842164.

Adding to 311104242 its reverse (242401113), we get a palindrome (553505355).

The spelling of 311104242 in words is "three hundred eleven million, one hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 17283569 34567138 51850707 103701414 155552121 311104242