Search a number
-
+
245806336 = 2823109383
BaseRepresentation
bin11101010011010…
…11010100000000
3122010112020220101
432221223110000
51000411300321
640220252144
76043214356
oct1651532400
9563466811
10245806336
11116829a36
126a3a1054
133bc04949
14249077d6
15168a6791
hexea6b500

245806336 has 72 divisors (see below), whose sum is σ = 518031360. Its totient is φ = 116176896.

The previous prime is 245806321. The next prime is 245806369. The reversal of 245806336 is 633608542.

245806336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245806295 and 245806304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641601 + ... + 641983.

It is an arithmetic number, because the mean of its divisors is an integer number (7194880).

Almost surely, 2245806336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

245806336 is an abundant number, since it is smaller than the sum of its proper divisors (272225024).

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

245806336 is a wasteful number, since it uses less digits than its factorization.

245806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 245806336 is about 15678.2121429709. The cubic root of 245806336 is about 626.4181862823.

The spelling of 245806336 in words is "two hundred forty-five million, eight hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 109 128 184 218 256 368 383 436 736 766 872 1472 1532 1744 2507 2944 3064 3488 5014 5888 6128 6976 8809 10028 12256 13952 17618 20056 24512 27904 35236 40112 41747 49024 70472 80224 83494 98048 140944 160448 166988 281888 320896 333976 563776 641792 667952 960181 1127552 1335904 1920362 2255104 2671808 3840724 5343616 7681448 10687232 15362896 30725792 61451584 122903168 245806336