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24294138 = 23112109307
BaseRepresentation
bin101110010101…
…1001011111010
31200201021021220
41130223023322
522204403023
62224412510
7413332251
oct134531372
950637256
1024294138
1112793600
128177136
135057b3b
143325798
1521ed3e3
hex172b2fa

24294138 has 48 divisors (see below), whose sum is σ = 54072480. Its totient is φ = 7270560.

The previous prime is 24294113. The next prime is 24294143. The reversal of 24294138 is 83149242.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (13824) is a multiple of the sum of its prime divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 24294099 and 24294108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78981 + ... + 79287.

It is an arithmetic number, because the mean of its divisors is an integer number (1126510).

Almost surely, 224294138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24294138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27036240).

24294138 is an abundant number, since it is smaller than the sum of its proper divisors (29778342).

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

24294138 is a wasteful number, since it uses less digits than its factorization.

24294138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 24294138 is about 4928.9083984185. The cubic root of 24294138 is about 289.6235225671.

The spelling of 24294138 in words is "twenty-four million, two hundred ninety-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 307 327 363 614 654 726 921 1199 1842 2398 3377 3597 6754 7194 10131 13189 20262 26378 33463 37147 39567 66926 74294 79134 100389 111441 200778 222882 368093 736186 1104279 2208558 4049023 8098046 12147069 24294138