Search a number
-
+
24339072 = 273241263
BaseRepresentation
bin101110011011…
…0001010000000
31200210112221010
41130312022000
522212322242
62225400520
7413610252
oct134661200
950715833
1024339072
111281433a
128199140
135072424
143337cd2
15220b89c
hex1736280

24339072 has 64 divisors (see below), whose sum is σ = 65165760. Its totient is φ = 8048640.

The previous prime is 24339071. The next prime is 24339079. The reversal of 24339072 is 27093342.

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 (24339071) 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, 92413 + ... + 92675.

It is an arithmetic number, because the mean of its divisors is an integer number (1018215).

Almost surely, 224339072 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 24339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32582880).

24339072 is an abundant number, since it is smaller than the sum of its proper divisors (40826688).

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

24339072 is a wasteful number, since it uses less digits than its factorization.

24339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 24339072 is about 4933.4645027607. The cubic root of 24339072 is about 289.8019734091.

The spelling of 24339072 in words is "twenty-four million, three hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 263 384 482 526 723 789 964 1052 1446 1578 1928 2104 2892 3156 3856 4208 5784 6312 7712 8416 11568 12624 15424 16832 23136 25248 30848 33664 46272 50496 63383 92544 100992 126766 190149 253532 380298 507064 760596 1014128 1521192 2028256 3042384 4056512 6084768 8113024 12169536 24339072