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3261338112 = 2934151787
BaseRepresentation
bin1100001001100100…
…0001001000000000
322102021210010211110
43002121001020000
523134400304422
61255341443320
7143550626244
oct30231011000
98367703743
103261338112
111423a3865a
12770270540
133cc896886
1422d1d4424
151414b760c
hexc2641200

3261338112 has 80 divisors (see below), whose sum is σ = 8900492832. Its totient is φ = 1060577280.

The previous prime is 3261338077. The next prime is 3261338117. The reversal of 3261338112 is 2118331623.

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 3261338112.

It is not an unprimeable number, because it can be changed into a prime (3261338117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37083 + ... + 88869.

Almost surely, 23261338112 is an apocalyptic number.

3261338112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450246416).

3261338112 is an abundant number, since it is smaller than the sum of its proper divisors (5639154720).

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

3261338112 is an equidigital number, since it uses as much as digits as its factorization.

3261338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51849 (or 51833 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3261338112 is about 57108.1264970232. The cubic root of 3261338112 is about 1482.9685535644.

Adding to 3261338112 its reverse (2118331623), we get a palindrome (5379669735).

The spelling of 3261338112 in words is "three billion, two hundred sixty-one million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1968 2624 3936 5248 7872 10496 15744 20992 31488 51787 62976 103574 155361 207148 310722 414296 621444 828592 1242888 1657184 2123267 2485776 3314368 4246534 4971552 6369801 6628736 8493068 9943104 12739602 13257472 16986136 19886208 25479204 26514944 33972272 39772416 50958408 67944544 79544832 101916816 135889088 203833632 271778176 407667264 543556352 815334528 1087112704 1630669056 3261338112