Search a number
-
+
308048310441 = 348327432
BaseRepresentation
bin1000111101110010001…
…11000011000010101001
31002110010102020120010000
410132321013003002221
520021340331413231
6353303200213213
731153503302304
oct4367107030251
91073112216100
10308048310441
11109708271033
124b85090a209
1323083388091
1410ca3dc3b3b
15802e04d6e6
hex47b91c30a9

308048310441 has 45 divisors (see below), whose sum is σ = 466409696269. Its totient is φ = 202618186344.

The previous prime is 308048310403. The next prime is 308048310443. The reversal of 308048310441 is 144013840803.

The square root of 308048310441 is 555021.

It is a perfect power (a square), and thus also a powerful number.

308048310441 is a `hidden beast` number, since 30 + 8 + 0 + 483 + 104 + 41 = 666.

It is not a de Polignac number, because 308048310441 - 221 = 308046213289 is a prime.

It is a super-2 number, since 2×3080483104412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 308048310396 and 308048310405.

It is not an unprimeable number, because it can be changed into a prime (308048310443) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 414600316 + ... + 414601058.

Almost surely, 2308048310441 is an apocalyptic number.

308048310441 is the 555021-st square number.

308048310441 is the 277511-st centered octagonal number.

It is an amenable number.

308048310441 is a deficient number, since it is larger than the sum of its proper divisors (158361385828).

308048310441 is an frugal number, since it uses more digits than its factorization.

308048310441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 308048310441 by its sum of digits (36), we get a square (11089739175876 = 33301262).

The spelling of 308048310441 in words is "three hundred eight billion, forty-eight million, three hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 83 249 743 747 2229 2241 6687 6723 6889 20061 20667 60183 61669 62001 185007 186003 552049 555021 558009 1656147 1665063 4968441 4995189 5118527 14905323 15355581 44715969 45820067 46066743 137460201 138200229 412380603 414600687 1237141809 3711425427 3803065561 11409196683 34227590049 102682770147 308048310441