Search a number
-
+
23300352 = 28333371
BaseRepresentation
bin101100011100…
…0100100000000
31121211210002000
41120320210000
521431102402
62151224000
7402023025
oct130704400
947753060
1023300352
1112174999
127978000
134a9a6ba
14314754c
1520a3c1c
hex1638900

23300352 has 72 divisors (see below), whose sum is σ = 68923680. Its totient is φ = 7764480.

The previous prime is 23300317. The next prime is 23300363. The reversal of 23300352 is 25300332.

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 5227 + ... + 8597.

Almost surely, 223300352 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 23300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34461840).

23300352 is an abundant number, since it is smaller than the sum of its proper divisors (45623328).

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

23300352 is an equidigital number, since it uses as much as digits as its factorization.

23300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 23300352 is about 4827.0438158359. The cubic root of 23300352 is about 285.6192628770.

Adding to 23300352 its reverse (25300332), we get a palindrome (48600684).

It can be divided in two parts, 23 and 300352, that multiplied together give a palindrome (6908096).

The spelling of 23300352 in words is "twenty-three million, three hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3371 3456 6742 6912 10113 13484 20226 26968 30339 40452 53936 60678 80904 91017 107872 121356 161808 182034 215744 242712 323616 364068 431488 485424 647232 728136 862976 970848 1294464 1456272 1941696 2588928 2912544 3883392 5825088 7766784 11650176 23300352