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3290112020 = 2251331340429
BaseRepresentation
bin1100010000011011…
…0010000000010100
322111021221000012202
43010012302000110
523214232041040
61302250304032
7144350330216
oct30406620024
98437830182
103290112020
111439200948
12779a28018
1340582c760
14232d645b6
15143c9d015
hexc41b2014

3290112020 has 48 divisors (see below), whose sum is σ = 7464671760. Its totient is φ = 1210899456.

The previous prime is 3290112013. The next prime is 3290112071. The reversal of 3290112020 is 202110923.

It can be written as a sum of positive squares in 8 ways, for example, as 501849604 + 2788262416 = 22402^2 + 52804^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3290111983 and 3290112001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61166 + ... + 101594.

It is an arithmetic number, because the mean of its divisors is an integer number (155513995).

Almost surely, 23290112020 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 3290112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732335880).

3290112020 is an abundant number, since it is smaller than the sum of its proper divisors (4174559740).

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

3290112020 is a wasteful number, since it uses less digits than its factorization.

3290112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40764 (or 40762 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3290112020 is about 57359.4980800913. The cubic root of 3290112020 is about 1487.3170673516.

Adding to 3290112020 its reverse (202110923), we get a palindrome (3492222943).

The spelling of 3290112020 in words is "three billion, two hundred ninety million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 1252 1565 3130 4069 6260 8138 16276 20345 40429 40690 80858 81380 161716 202145 404290 525577 808580 1051154 2102308 2627885 5255770 10511540 12654277 25308554 50617108 63271385 126542770 164505601 253085540 329011202 658022404 822528005 1645056010 3290112020