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3105033040 = 24538812913
BaseRepresentation
bin1011100100010011…
…0000101101010000
322000101200000120201
42321010300231100
522324342024130
61232035344544
7136642226314
oct27104605520
98011600521
103105033040
11135378a30a
12727a52154
133a639ab75
14216547b44
151328debca
hexb9130b50

3105033040 has 20 divisors (see below), whose sum is σ = 7219202004. Its totient is φ = 1242013184.

The previous prime is 3105032993. The next prime is 3105033073. The reversal of 3105033040 is 403305013.

It can be written as a sum of positive squares in 2 ways, for example, as 1071383824 + 2033649216 = 32732^2 + 45096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 3105032999 and 3105033017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19406377 + ... + 19406536.

Almost surely, 23105033040 is an apocalyptic number.

It is an amenable number.

3105033040 is an abundant number, since it is smaller than the sum of its proper divisors (4114168964).

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

3105033040 is a wasteful number, since it uses less digits than its factorization.

3105033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38812926 (or 38812920 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3105033040 is about 55722.8233311989. The cubic root of 3105033040 is about 1458.8884139210. Note that the first 3 decimals are identical.

Adding to 3105033040 its reverse (403305013), we get a palindrome (3508338053).

The spelling of 3105033040 in words is "three billion, one hundred five million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 38812913 77625826 155251652 194064565 310503304 388129130 621006608 776258260 1552516520 3105033040