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311840037 = 3417212237
BaseRepresentation
bin10010100101100…
…100110100100101
3210201210010010000
4102211210310211
51114312340122
650535451513
710504411425
oct2245446445
9721703100
10311840037
11150031043
1288526b99
134c7b5042
142d5b6485
151c59c0ac
hex12964d25

311840037 has 20 divisors (see below), whose sum is σ = 466314156. Its totient is φ = 207679680.

The previous prime is 311840029. The next prime is 311840059. The reversal of 311840037 is 730048113.

It can be written as a sum of positive squares in 2 ways, for example, as 239351841 + 72488196 = 15471^2 + 8514^2 .

It is not a de Polignac number, because 311840037 - 23 = 311840029 is a prime.

It is a super-2 number, since 2×3118400372 = 194488417352322738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311840077) 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 19 ways as a sum of consecutive naturals, for example, 138283 + ... + 140519.

Almost surely, 2311840037 is an apocalyptic number.

It is an amenable number.

311840037 is a deficient number, since it is larger than the sum of its proper divisors (154474119).

311840037 is a wasteful number, since it uses less digits than its factorization.

311840037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 311840037 is about 17658.9930913402. The cubic root of 311840037 is about 678.1263567459.

The spelling of 311840037 in words is "three hundred eleven million, eight hundred forty thousand, thirty-seven".

Divisors: 1 3 9 27 81 1721 2237 5163 6711 15489 20133 46467 60399 139401 181197 3849877 11549631 34648893 103946679 311840037