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12304248 = 23311219223
BaseRepresentation
bin101110111011…
…111101111000
3212011010020220
4232323331320
511122213443
61115420040
7206404305
oct56737570
925133226
1012304248
116a44400
124154620
13271a628
1418c40ac
151130a83
hexbbbf78

12304248 has 96 divisors (see below), whose sum is σ = 35750400. Its totient is φ = 3516480.

The previous prime is 12304219. The next prime is 12304261. The reversal of 12304248 is 84240321.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55065 + ... + 55287.

It is an arithmetic number, because the mean of its divisors is an integer number (372400).

Almost surely, 212304248 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 12304248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

12304248 is an abundant number, since it is smaller than the sum of its proper divisors (23446152).

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

12304248 is a wasteful number, since it uses less digits than its factorization.

12304248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12304248 is about 3507.7411535061. The cubic root of 12304248 is about 230.8615950950.

Adding to 12304248 its reverse (84240321), we get a palindrome (96544569).

The spelling of 12304248 in words is "twelve million, three hundred four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 223 228 242 264 363 418 446 456 484 627 669 726 836 892 968 1254 1338 1452 1672 1784 2299 2453 2508 2676 2904 4237 4598 4906 5016 5352 6897 7359 8474 9196 9812 12711 13794 14718 16948 18392 19624 25422 26983 27588 29436 33896 46607 50844 53966 55176 58872 80949 93214 101688 107932 139821 161898 186428 215864 279642 323796 372856 512677 559284 647592 1025354 1118568 1538031 2050708 3076062 4101416 6152124 12304248