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24334420 = 22511532087
BaseRepresentation
bin101110011010…
…1000001010100
31200210022112211
41130311001110
522212200140
62225323204
7413560555
oct134650124
950708484
1024334420
11128108a0
128196504
135070286
14333632c
15220a2ea
hex1735054

24334420 has 48 divisors (see below), whose sum is σ = 56827008. Its totient is φ = 8677760.

The previous prime is 24334403. The next prime is 24334439. The reversal of 24334420 is 2443342.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 24334391 and 24334400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10617 + ... + 12703.

It is an arithmetic number, because the mean of its divisors is an integer number (1183896).

Almost surely, 224334420 is an apocalyptic number.

24334420 is a gapful number since it is divisible by the number (20) 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 24334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28413504).

24334420 is an abundant number, since it is smaller than the sum of its proper divisors (32492588).

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

24334420 is a wasteful number, since it uses less digits than its factorization.

24334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 24334420 is about 4932.9930062793. The cubic root of 24334420 is about 289.7835086585.

Adding to 24334420 its reverse (2443342), we get a palindrome (26777762).

The spelling of 24334420 in words is "twenty-four million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2087 2332 2915 4174 5830 8348 10435 11660 20870 22957 41740 45914 91828 110611 114785 221222 229570 442444 459140 553055 1106110 1216721 2212220 2433442 4866884 6083605 12167210 24334420