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311950242 = 2322321812
BaseRepresentation
bin10010100101111…
…111101110100010
3210201222201021200
4102211333232202
51114324401432
650542102030
710505350632
oct2245775642
9721881250
10311950242
111500a691a
128857a916
134c823256
142d6046c2
151c5bea7c
hex1297fba2

311950242 has 54 divisors (see below), whose sum is σ = 710481681. Its totient is φ = 98912880.

The previous prime is 311950237. The next prime is 311950253. The reversal of 311950242 is 242059113.

311950242 is a `hidden beast` number, since 3 + 119 + 502 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188540361 + 123409881 = 13731^2 + 11109^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12489.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1723392 + ... + 1723572.

Almost surely, 2311950242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311950242

311950242 is an abundant number, since it is smaller than the sum of its proper divisors (398531439).

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

311950242 is a wasteful number, since it uses less digits than its factorization.

311950242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 311950242 is about 17662.1131804776. The cubic root of 311950242 is about 678.2062311520.

It can be divided in two parts, 3119 and 50242, that added together give a square (53361 = 2312).

The spelling of 311950242 in words is "three hundred eleven million, nine hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 181 207 362 414 529 543 1058 1086 1587 1629 3174 3258 4163 4761 8326 9522 12489 24978 32761 37467 65522 74934 95749 98283 191498 196566 287247 294849 574494 589698 753503 861741 1507006 1723482 2260509 4521018 6781527 13563054 17330569 34661138 51991707 103983414 155975121 311950242