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311639340 = 22355193989
BaseRepresentation
bin10010100100110…
…011110100101100
3210201101220210210
4102210303310230
51114234424330
650531302420
710502614335
oct2244636454
9721356723
10311639340
1114aa04281
128844aa10
134c74489c
142d56328c
151c55c8b0
hex12933d2c

311639340 has 24 divisors (see below), whose sum is σ = 872590320. Its totient is φ = 83103808.

The previous prime is 311639329. The next prime is 311639347. The reversal of 311639340 is 43936113.

311639340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 311639298 and 311639307.

It is not an unprimeable number, because it can be changed into a prime (311639347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2596935 + ... + 2597054.

It is an arithmetic number, because the mean of its divisors is an integer number (36357930).

Almost surely, 2311639340 is an apocalyptic number.

311639340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311639340 is an abundant number, since it is smaller than the sum of its proper divisors (560950980).

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

311639340 is a wasteful number, since it uses less digits than its factorization.

311639340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194001 (or 5193999 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 311639340 is about 17653.3096047172. The cubic root of 311639340 is about 677.9808471717.

The spelling of 311639340 in words is "three hundred eleven million, six hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5193989 10387978 15581967 20775956 25969945 31163934 51939890 62327868 77909835 103879780 155819670 311639340