Search a number
-
+
3276270540 = 22325173105211
BaseRepresentation
bin1100001101000111…
…1110101111001100
322110022212210021100
43003101332233030
523202211124130
61301033503100
7144121561104
oct30321765714
98408783240
103276270540
111431407604
12775271a90
134029c452a
142311a0204
15142966c60
hexc347ebcc

3276270540 has 72 divisors (see below), whose sum is σ = 9995560848. Its totient is φ = 868613760.

The previous prime is 3276270523. The next prime is 3276270593. The reversal of 3276270540 is 450726723.

It is a happy number.

3276270540 is a `hidden beast` number, since 3 + 27 + 627 + 0 + 5 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3276270495 and 3276270504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21466 + ... + 83745.

It is an arithmetic number, because the mean of its divisors is an integer number (138827234).

Almost surely, 23276270540 is an apocalyptic number.

3276270540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3276270540 is an abundant number, since it is smaller than the sum of its proper divisors (6719290308).

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

3276270540 is a wasteful number, since it uses less digits than its factorization.

3276270540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105399 (or 105394 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3276270540 is about 57238.7153943902. The cubic root of 3276270540 is about 1485.2284245426.

The spelling of 3276270540 in words is "three billion, two hundred seventy-six million, two hundred seventy thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 15570 31140 105211 210422 315633 420844 526055 631266 946899 1052110 1262532 1578165 1893798 2104220 3156330 3787596 4734495 6312660 9468990 18201503 18937980 36403006 54604509 72806012 91007515 109209018 163813527 182015030 218418036 273022545 327627054 364030060 546045090 655254108 819067635 1092090180 1638135270 3276270540