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112314384 = 24337132857
BaseRepresentation
bin1101011000111…
…00100000010000
321211100011101000
412230130200100
5212223030014
615051142000
72532441120
oct654344020
9254304330
10112314384
1158442506
1231744900
131a365920
1410cb8c80
159cd8509
hex6b1c810

112314384 has 160 divisors (see below), whose sum is σ = 396919040. Its totient is φ = 29611008.

The previous prime is 112314383. The next prime is 112314407. The reversal of 112314384 is 483413211.

It is a super-2 number, since 2×1123143842 = 25229041706598912, 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 not an unprimeable number, because it can be changed into a prime (112314383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37884 + ... + 40740.

It is an arithmetic number, because the mean of its divisors is an integer number (2480744).

Almost surely, 2112314384 is an apocalyptic number.

112314384 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 112314384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198459520).

112314384 is an abundant number, since it is smaller than the sum of its proper divisors (284604656).

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

112314384 is a wasteful number, since it uses less digits than its factorization.

112314384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2882 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 112314384 is about 10597.8480834554. The cubic root of 112314384 is about 482.4790494451.

Adding to 112314384 its reverse (483413211), we get a palindrome (595727595).

The spelling of 112314384 in words is "one hundred twelve million, three hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 2857 3024 3276 4368 4914 5616 5714 6552 8571 9828 11428 13104 17142 19656 19999 22856 25713 34284 37141 39312 39998 45712 51426 59997 68568 74282 77139 79996 102852 111423 119994 137136 148564 154278 159992 179991 205704 222846 239988 259987 297128 308556 319984 334269 359982 411408 445692 479976 519974 539973 594256 617112 668538 719964 779961 891384 959952 1002807 1039948 1079946 1234224 1337076 1439928 1559922 1782768 2005614 2079896 2159892 2339883 2674152 2879856 3119844 4011228 4159792 4319784 4679766 5348304 6239688 7019649 8022456 8639568 9359532 12479376 14039298 16044912 18719064 28078596 37438128 56157192 112314384