Search a number
-
+
3287794050 = 23452172532
BaseRepresentation
bin1100001111110111…
…1100000110000010
322111010120020120000
43003331330012002
523213133402200
61302124500430
7144321534252
oct30375740602
98433506500
103287794050
111437968372
127790aa716
134051ca688
1423291d962
15143991300
hexc3f7c182

3287794050 has 270 divisors, whose sum is σ = 9890723073. Its totient is φ = 809602560.

The previous prime is 3287794039. The next prime is 3287794079. The reversal of 3287794050 is 504977823.

3287794050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 457660449 + 2830133601 = 21393^2 + 53199^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=40545.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3287793987 and 3287794005.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62033824 + ... + 62033876.

Almost surely, 23287794050 is an apocalyptic number.

3287794050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287794050

3287794050 is an abundant number, since it is smaller than the sum of its proper divisors (6602929023).

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

3287794050 is a wasteful number, since it uses less digits than its factorization.

3287794050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3287794050 is about 57339.2888864171. The cubic root of 3287794050 is about 1486.9677006968.

The spelling of 3287794050 in words is "three billion, two hundred eighty-seven million, seven hundred ninety-four thousand, fifty".