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112544334 = 23271953887
BaseRepresentation
bin1101011010101…
…00101001001110
321211202211210200
412231110221032
5212302404314
615100114330
72534416410
oct655245116
9254684720
10112544334
115858a251
12318359a6
131a4164a6
1410d389b0
159d31709
hex6b54a4e

112544334 has 96 divisors (see below), whose sum is σ = 299220480. Its totient is φ = 29854656.

The previous prime is 112544323. The next prime is 112544363. The reversal of 112544334 is 433445211.

It is a happy number.

112544334 is a `hidden beast` number, since 112 + 544 + 3 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112544298 and 112544307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126439 + ... + 127325.

It is an arithmetic number, because the mean of its divisors is an integer number (3116880).

Almost surely, 2112544334 is an apocalyptic number.

112544334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112544334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149610240).

112544334 is an abundant number, since it is smaller than the sum of its proper divisors (186676146).

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

112544334 is a wasteful number, since it uses less digits than its factorization.

112544334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 971 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 112544334 is about 10608.6914367419. The cubic root of 112544334 is about 482.8080973174.

Adding to 112544334 its reverse (433445211), we get a palindrome (545989545).

It can be divided in two parts, 112 and 544334, that added together give a triangular number (544446 = T1043).

The spelling of 112544334 in words is "one hundred twelve million, five hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 53 57 63 106 114 126 133 159 171 266 318 342 371 399 477 742 798 887 954 1007 1113 1197 1774 2014 2226 2394 2661 3021 3339 5322 6042 6209 6678 7049 7983 9063 12418 14098 15966 16853 18126 18627 21147 33706 37254 42294 47011 50559 55881 63441 94022 101118 111762 117971 126882 141033 151677 235942 282066 303354 329077 353913 423099 658154 707826 846198 893209 987231 1061739 1786418 1974462 2123478 2679627 2961693 5359254 5923386 6252463 8038881 12504926 16077762 18757389 37514778 56272167 112544334