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74300112 = 2433293587
BaseRepresentation
bin1000110110110…
…11101011010000
312011210211121000
410123123223100
5123010100422
611212302000
71561353255
oct433335320
9164724530
1074300112
1138a38857
1220a71900
1312515b83
149c2142c
1567c9cac
hex46dbad0

74300112 has 80 divisors (see below), whose sum is σ = 214361280. Its totient is φ = 24640128.

The previous prime is 74300069. The next prime is 74300113. The reversal of 74300112 is 21100347.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74300113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126283 + ... + 126869.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 274300112 is an apocalyptic number.

74300112 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 74300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107180640).

74300112 is an abundant number, since it is smaller than the sum of its proper divisors (140061168).

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

74300112 is a wasteful number, since it uses less digits than its factorization.

74300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 74300112 is about 8619.7512725136. The cubic root of 74300112 is about 420.4004344249.

Adding to 74300112 its reverse (21100347), we get a palindrome (95400459).

The spelling of 74300112 in words is "seventy-four million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 293 432 586 587 879 1172 1174 1758 1761 2344 2348 2637 3516 3522 4688 4696 5274 5283 7032 7044 7911 9392 10548 10566 14064 14088 15822 15849 21096 21132 28176 31644 31698 42192 42264 63288 63396 84528 126576 126792 171991 253584 343982 515973 687964 1031946 1375928 1547919 2063892 2751856 3095838 4127784 4643757 6191676 8255568 9287514 12383352 18575028 24766704 37150056 74300112