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311143040 = 2751337397
BaseRepresentation
bin10010100010111…
…010101010000000
3210200110201000022
4102202322222000
51114123034130
650512513012
710465446365
oct2242725200
9720421008
10311143040
1114a6a540a
128824b768
134c5cca10
142d47446c
151c4b07e5
hex128baa80

311143040 has 64 divisors (see below), whose sum is σ = 801065160. Its totient is φ = 114880512.

The previous prime is 311143033. The next prime is 311143043. The reversal of 311143040 is 40341113.

It can be written as a sum of positive squares in 4 ways, for example, as 159163456 + 151979584 = 12616^2 + 12328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (311143043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10379 + ... + 27018.

Almost surely, 2311143040 is an apocalyptic number.

It is an amenable number.

311143040 is an abundant number, since it is smaller than the sum of its proper divisors (489922120).

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

311143040 is a wasteful number, since it uses less digits than its factorization.

311143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37429 (or 37417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 311143040 is about 17639.2471494676. The cubic root of 311143040 is about 677.6207507072.

Adding to 311143040 its reverse (40341113), we get a palindrome (351484153).

The spelling of 311143040 in words is "three hundred eleven million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 37397 74794 149588 186985 299176 373970 486161 598352 747940 972322 1196704 1495880 1944644 2393408 2430805 2991760 3889288 4786816 4861610 5983520 7778576 9723220 11967040 15557152 19446440 23934080 31114304 38892880 62228608 77785760 155571520 311143040