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311020434 = 23217278913
BaseRepresentation
bin10010100010011…
…100101110010010
3210200020110211100
4102202130232102
51114110123214
650510125230
710464426054
oct2242345622
9720213740
10311020434
1114a62128a
12881b0816
134c588c7a
142d4418d4
151c489309
hex1289cb92

311020434 has 12 divisors (see below), whose sum is σ = 673877646. Its totient is φ = 103673472.

The previous prime is 311020403. The next prime is 311020439. The reversal of 311020434 is 434020113.

It can be written as a sum of positive squares in only one way, i.e., 277322409 + 33698025 = 16653^2 + 5805^2 .

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: 17278913 = 311020434 / (3 + 1 + 1 + 0 + 2 + 0 + 4 + 3 + 4).

It is not an unprimeable number, because it can be changed into a prime (311020439) 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, 8639439 + ... + 8639474.

Almost surely, 2311020434 is an apocalyptic number.

311020434 is an abundant number, since it is smaller than the sum of its proper divisors (362857212).

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

311020434 is a wasteful number, since it uses less digits than its factorization.

311020434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17278921 (or 17278918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 311020434 is about 17635.7714319505. The cubic root of 311020434 is about 677.5317334664.

Adding to 311020434 its reverse (434020113), we get a palindrome (745040547).

The spelling of 311020434 in words is "three hundred eleven million, twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 17278913 34557826 51836739 103673478 155510217 311020434