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2000242304 = 2717919229
BaseRepresentation
bin111011100111001…
…0100011010000000
312011101210211121022
41313032110122000
513044030223204
6530252045012
7100365531134
oct16716243200
95141724538
102000242304
119370a2715
12479a63768
1325b530738
1414d91d3c4
15ba90e5be
hex77394680

2000242304 has 32 divisors (see below), whose sum is σ = 4219265700. Its totient is φ = 941289472.

The previous prime is 2000242303. The next prime is 2000242327. The reversal of 2000242304 is 4032420002.

It can be written as a sum of positive squares in 2 ways, for example, as 1925454400 + 74787904 = 43880^2 + 8648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×20002423042 = 8001938549422456832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2000242303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457439 + ... + 461790.

Almost surely, 22000242304 is an apocalyptic number.

It is an amenable number.

2000242304 is an abundant number, since it is smaller than the sum of its proper divisors (2219023396).

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

2000242304 is an equidigital number, since it uses as much as digits as its factorization.

2000242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919260 (or 919248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2000242304 is about 44724.0685090254. The cubic root of 2000242304 is about 1259.9719284919.

Adding to 2000242304 its reverse (4032420002), we get a palindrome (6032662306).

The spelling of 2000242304 in words is "two billion, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 919229 1838458 3676916 7353832 14707664 15626893 29415328 31253786 58830656 62507572 117661312 125015144 250030288 500060576 1000121152 2000242304