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3023041320 = 23325131737997
BaseRepresentation
bin1011010000101111…
…1111001100101000
321210200101102002100
42310023333030220
522142344310240
61215550133400
7134625266355
oct26413771450
97720342070
103023041320
111311478762
127044b1260
133923c1060
142096c362c
1512a5e5e30
hexb42ff328

3023041320 has 192 divisors, whose sum is σ = 11203330320. Its totient is φ = 700342272.

The previous prime is 3023041319. The next prime is 3023041331. The reversal of 3023041320 is 231403203.

3023041320 is a `hidden beast` number, since 3 + 0 + 230 + 413 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2034190404 + 988850916 = 45102^2 + 31446^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3023041293 and 3023041302.

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 47 ways as a sum of consecutive naturals, for example, 60562 + ... + 98558.

Almost surely, 23023041320 is an apocalyptic number.

3023041320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601665160).

3023041320 is an abundant number, since it is smaller than the sum of its proper divisors (8180289000).

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

3023041320 is a wasteful number, since it uses less digits than its factorization.

3023041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38044 (or 38037 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3023041320 is about 54982.1909348836. The cubic root of 3023041320 is about 1445.9325278573.

Adding to 3023041320 its reverse (231403203), we get a palindrome (3254444523).

The spelling of 3023041320 in words is "three billion, twenty-three million, forty-one thousand, three hundred twenty".