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74193372 = 22321117103107
BaseRepresentation
bin1000110110000…
…01100111011100
312011121102011200
410123001213130
5122443141442
611210115500
71560430131
oct433014734
9164542150
1074193372
1138975640
1220a1bb90
13124a9406
149bd4588
1567a834c
hex46c19dc

74193372 has 144 divisors (see below), whose sum is σ = 220776192. Its totient is φ = 20759040.

The previous prime is 74193359. The next prime is 74193373. The reversal of 74193372 is 27339147.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74193373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693343 + ... + 693449.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 274193372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74193372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110388096).

74193372 is an abundant number, since it is smaller than the sum of its proper divisors (146582820).

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

74193372 is a wasteful number, since it uses less digits than its factorization.

74193372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 74193372 is about 8613.5574532245. The cubic root of 74193372 is about 420.1990213231.

The spelling of 74193372 in words is "seventy-four million, one hundred ninety-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 103 107 132 153 187 198 204 206 214 306 309 321 374 396 412 428 561 612 618 642 748 927 963 1122 1133 1177 1236 1284 1683 1751 1819 1854 1926 2244 2266 2354 3366 3399 3502 3531 3638 3708 3852 4532 4708 5253 5457 6732 6798 7004 7062 7276 10197 10506 10593 10914 11021 13596 14124 15759 16371 19261 20009 20394 21012 21186 21828 22042 31518 32742 33063 38522 40018 40788 42372 44084 57783 60027 63036 65484 66126 77044 80036 99189 115566 120054 121231 132252 173349 180081 187357 198378 231132 240108 242462 346698 360162 363693 374714 396756 484924 562071 693396 720324 727386 749428 1091079 1124142 1454772 1686213 2060927 2182158 2248284 3372426 4121854 4364316 6182781 6744852 8243708 12365562 18548343 24731124 37096686 74193372