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74534112 = 25321953257
BaseRepresentation
bin1000111000101…
…00110011100000
312012020201120200
410130110303200
5123040042422
611221305200
71563346422
oct434246340
9165221520
1074534112
1139088644
1220b65200
1312598533
149c82812
1568242ac
hex4714ce0

74534112 has 144 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 23003136.

The previous prime is 74534081. The next prime is 74534113. The reversal of 74534112 is 21143547.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74534113) 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, 289888 + ... + 290144.

It is an arithmetic number, because the mean of its divisors is an integer number (1584765).

Almost surely, 274534112 is an apocalyptic number.

74534112 is a gapful number since it is divisible by the number (72) 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 74534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114103080).

74534112 is an abundant number, since it is smaller than the sum of its proper divisors (153672048).

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

74534112 is a wasteful number, since it uses less digits than its factorization.

74534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 74534112 is about 8633.3140797726. The cubic root of 74534112 is about 420.8413068406.

Adding to 74534112 its reverse (21143547), we get a palindrome (95677659).

The spelling of 74534112 in words is "seventy-four million, five hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 53 57 72 76 96 106 114 144 152 159 171 212 228 257 288 304 318 342 424 456 477 514 608 636 684 771 848 912 954 1007 1028 1272 1368 1542 1696 1824 1908 2014 2056 2313 2544 2736 3021 3084 3816 4028 4112 4626 4883 5088 5472 6042 6168 7632 8056 8224 9063 9252 9766 12084 12336 13621 14649 15264 16112 18126 18504 19532 24168 24672 27242 29298 32224 36252 37008 39064 40863 43947 48336 54484 58596 72504 74016 78128 81726 87894 96672 108968 117192 122589 145008 156256 163452 175788 217936 234384 245178 258799 290016 326904 351576 435872 468768 490356 517598 653808 703152 776397 980712 1035196 1307616 1406304 1552794 1961424 2070392 2329191 3105588 3922848 4140784 4658382 6211176 8281568 9316764 12422352 18633528 24844704 37267056 74534112