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3130042400 = 255223170111
BaseRepresentation
bin1011101010010000…
…1010100000100000
322002010201121222022
42322210022200200
522402242324100
61234331401012
7140364631022
oct27244124040
98063647868
103130042400
111366911201
127342b3168
133ab6163c4
142199b8012
15134bcee85
hexba90a820

3130042400 has 72 divisors (see below), whose sum is σ = 7973489664. Its totient is φ = 1197574400.

The previous prime is 3130042367. The next prime is 3130042403. The reversal of 3130042400 is 42400313.

It is not an unprimeable number, because it can be changed into a prime (3130042403) 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 11 ways as a sum of consecutive naturals, for example, 66656 + ... + 103455.

It is an arithmetic number, because the mean of its divisors is an integer number (110742912).

Almost surely, 23130042400 is an apocalyptic number.

It is an amenable number.

3130042400 is an abundant number, since it is smaller than the sum of its proper divisors (4843447264).

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

3130042400 is a wasteful number, since it uses less digits than its factorization.

3130042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170154 (or 170141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3130042400 is about 55946.7818556170. The cubic root of 3130042400 is about 1462.7947967843.

Adding to 3130042400 its reverse (42400313), we get a palindrome (3172442713).

The spelling of 3130042400 in words is "three billion, one hundred thirty million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 18400 170111 340222 680444 850555 1360888 1701110 2721776 3402220 3912553 4252775 5443552 6804440 7825106 8505550 13608880 15650212 17011100 19562765 27217760 31300424 34022200 39125530 62600848 68044400 78251060 97813825 125201696 136088800 156502120 195627650 313004240 391255300 626008480 782510600 1565021200 3130042400