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8242344 = 2333113469
BaseRepresentation
bin11111011100010010101000
3120111202101000
4133130102220
54102223334
6452355000
7130026105
oct37342250
916452330
108242344
11471a660
122915a60
131927836
141147aac
15acc299
hex7dc4a8

8242344 has 64 divisors (see below), whose sum is σ = 24984000. Its totient is φ = 2496960.

The previous prime is 8242337. The next prime is 8242361. The reversal of 8242344 is 4432428.

It is a happy number.

8242344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82423442 = 135872469228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 4110.

It is an arithmetic number, because the mean of its divisors is an integer number (390375).

Almost surely, 28242344 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 8242344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492000).

8242344 is an abundant number, since it is smaller than the sum of its proper divisors (16741656).

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

8242344 is a wasteful number, since it uses less digits than its factorization.

8242344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3485 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 8242344 is about 2870.9482753961. The cubic root of 8242344 is about 201.9994771741. Note that the first 3 decimals are identical.

The spelling of 8242344 in words is "eight million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 3469 6938 10407 13876 20814 27752 31221 38159 41628 62442 76318 83256 93663 114477 124884 152636 187326 228954 249768 305272 343431 374652 457908 686862 749304 915816 1030293 1373724 2060586 2747448 4121172 8242344