[go: up one dir, main page]

Search a number
-
+
3320130312 = 233258817841
BaseRepresentation
bin1100010111100101…
…0010101100001000
322120101102002120100
43011321102230020
523244423132222
61305241525400
7145163433132
oct30571225410
98511362510
103320130312
111454144054
12787aa3860
1340bb0cb65
14236d3a052
1514672c4ac
hexc5e52b08

3320130312 has 48 divisors (see below), whose sum is σ = 8994695580. Its totient is φ = 1106380800.

The previous prime is 3320130283. The next prime is 3320130313. The reversal of 3320130312 is 2130310233.

3320130312 is a `hidden beast` number, since 3 + 320 + 1 + 30 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3282602436 + 37527876 = 57294^2 + 6126^2 .

It is a super-2 number, since 2×33201303122 = 22046530577322434688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3320130313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419512 + ... + 427352.

Almost surely, 23320130312 is an apocalyptic number.

It is an amenable number.

3320130312 is an abundant number, since it is smaller than the sum of its proper divisors (5674565268).

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

3320130312 is a wasteful number, since it uses less digits than its factorization.

3320130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3320130312 is about 57620.5719513439. The cubic root of 3320130312 is about 1491.8267030332.

Adding to 3320130312 its reverse (2130310233), we get a palindrome (5450440545).

The spelling of 3320130312 in words is "three billion, three hundred twenty million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5881 7841 11762 15682 17643 23523 23524 31364 35286 47046 47048 52929 62728 70569 70572 94092 105858 141138 141144 188184 211716 282276 423432 564552 46112921 92225842 138338763 184451684 276677526 368903368 415016289 553355052 830032578 1106710104 1660065156 3320130312