Search a number
-
+
3641361312 = 25337930847
BaseRepresentation
bin1101100100001010…
…1100001110100000
3100101202212022122210
43121002230032200
524424142030222
61401155002120
7156144026511
oct33102541640
910352768583
103641361312
1115a94a9716
12857599340
13460532484
14267878a08
15164a31d0c
hexd90ac3a0

3641361312 has 24 divisors (see below), whose sum is σ = 9558573696. Its totient is φ = 1213787072.

The previous prime is 3641361247. The next prime is 3641361313. The reversal of 3641361312 is 2131631463.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×36413613122 = 26519024409060722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3641361312.

It is not an unprimeable number, because it can be changed into a prime (3641361313) by changing a digit.

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, 18965328 + ... + 18965519.

It is an arithmetic number, because the mean of its divisors is an integer number (398273904).

Almost surely, 23641361312 is an apocalyptic number.

3641361312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3641361312 is an abundant number, since it is smaller than the sum of its proper divisors (5917212384).

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

3641361312 is a wasteful number, since it uses less digits than its factorization.

3641361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37930860 (or 37930852 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 3641361312 is about 60343.6932247273. The cubic root of 3641361312 is about 1538.4660770676.

Adding to 3641361312 its reverse (2131631463), we get a palindrome (5772992775).

The spelling of 3641361312 in words is "three billion, six hundred forty-one million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 37930847 75861694 113792541 151723388 227585082 303446776 455170164 606893552 910340328 1213787104 1820680656 3641361312