Search a number
-
+
112304304 = 24327432591
BaseRepresentation
bin1101011000110…
…10000010110000
321211022122112200
412230122002300
5212222214204
615051023200
72532366540
oct654320260
9254278480
10112304304
1158435982
123173ab00
131a361168
1410cb5320
159cd5539
hex6b1a0b0

112304304 has 120 divisors (see below), whose sum is σ = 367690752. Its totient is φ = 31328640.

The previous prime is 112304303. The next prime is 112304323. The reversal of 112304304 is 403403211.

112304304 is a `hidden beast` number, since 1 + 1 + 230 + 430 + 4 = 666.

It is a super-2 number, since 2×1123043042 = 25224513393848832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112304303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42049 + ... + 44639.

Almost surely, 2112304304 is an apocalyptic number.

112304304 is a gapful number since it is divisible by the number (14) 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 112304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

112304304 is an abundant number, since it is smaller than the sum of its proper divisors (255386448).

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

112304304 is a wasteful number, since it uses less digits than its factorization.

112304304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112304304 is about 10597.3725045409. The cubic root of 112304304 is about 482.4646151577.

Adding to 112304304 its reverse (403403211), we get a palindrome (515707515).

The spelling of 112304304 in words is "one hundred twelve million, three hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2591 2709 3096 3612 4816 5182 5418 6192 7224 7773 10364 10836 14448 15546 18137 20728 21672 23319 31092 36274 41456 43344 46638 54411 62184 72548 93276 108822 111413 124368 145096 163233 186552 217644 222826 290192 326466 334239 373104 435288 445652 652932 668478 779891 870576 891304 1002717 1305864 1336956 1559782 1782608 2005434 2339673 2611728 2673912 3119564 4010868 4679346 5347824 6239128 7019019 8021736 9358692 12478256 14038038 16043472 18717384 28076076 37434768 56152152 112304304