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3045013000 = 235322913297
BaseRepresentation
bin1011010101111111…
…0011011000001000
321212012201200120021
42311133303120020
522214010404000
61222053110224
7135313116631
oct26537633010
97765650507
103045013000
111322915377
1270b928374
13396b14a53
1420c5a2888
1512c4d611a
hexb57f3608

3045013000 has 64 divisors (see below), whose sum is σ = 7156983600. Its totient is φ = 1212595200.

The previous prime is 3045012989. The next prime is 3045013007. The reversal of 3045013000 is 3105403.

It can be written as a sum of positive squares in 8 ways, for example, as 18472804 + 3026540196 = 4298^2 + 55014^2 .

It is not an unprimeable number, because it can be changed into a prime (3045013007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 222352 + ... + 235648.

Almost surely, 23045013000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578491800).

3045013000 is an abundant number, since it is smaller than the sum of its proper divisors (4111970600).

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

3045013000 is a wasteful number, since it uses less digits than its factorization.

3045013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13547 (or 13533 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3045013000 is about 55181.6364382210. The cubic root of 3045013000 is about 1449.4271220873.

Adding to 3045013000 its reverse (3105403), we get a palindrome (3048118403).

The spelling of 3045013000 in words is "three billion, forty-five million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 229 250 458 500 916 1000 1145 1832 2290 4580 5725 9160 11450 13297 22900 26594 28625 45800 53188 57250 66485 106376 114500 132970 229000 265940 332425 531880 664850 1329700 1662125 2659400 3045013 3324250 6090026 6648500 12180052 13297000 15225065 24360104 30450130 60900260 76125325 121800520 152250650 304501300 380626625 609002600 761253250 1522506500 3045013000