Search a number
-
+
23320704 = 273115521
BaseRepresentation
bin101100011110…
…1100010000000
31121212210222210
41120331202000
521432230304
62151502120
7402136251
oct130754200
947783883
1023320704
1112189210
127987940
134aa6a44
143150b28
1520a9c89
hex163d880

23320704 has 64 divisors (see below), whose sum is σ = 67589280. Its totient is φ = 7065600.

The previous prime is 23320699. The next prime is 23320709. The reversal of 23320704 is 40702332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23320699) and next prime (23320709).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (23320709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464 + ... + 6984.

Almost surely, 223320704 is an apocalyptic number.

23320704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33794640).

23320704 is an abundant number, since it is smaller than the sum of its proper divisors (44268576).

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

23320704 is a wasteful number, since it uses less digits than its factorization.

23320704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 23320704 is about 4829.1514782620. The cubic root of 23320704 is about 285.7023979816.

The spelling of 23320704 in words is "twenty-three million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 5521 11042 16563 22084 33126 44168 60731 66252 88336 121462 132504 176672 182193 242924 265008 353344 364386 485848 530016 706688 728772 971696 1060032 1457544 1943392 2120064 2915088 3886784 5830176 7773568 11660352 23320704