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93241368 = 233411103127
BaseRepresentation
bin1011000111011…
…00000000011000
320111110011010000
411203230000120
5142332210433
613130253000
72211352503
oct543540030
9214404100
1093241368
11486a5690
1227287160
131641840c
14c55213a
1582bc113
hex58ec018

93241368 has 160 divisors (see below), whose sum is σ = 289935360. Its totient is φ = 27760320.

The previous prime is 93241361. The next prime is 93241381. The reversal of 93241368 is 86314239.

It is a super-2 number, since 2×932413682 = 17387905413022848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93241361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 734121 + ... + 734247.

It is an arithmetic number, because the mean of its divisors is an integer number (1812096).

Almost surely, 293241368 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 93241368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144967680).

93241368 is an abundant number, since it is smaller than the sum of its proper divisors (196693992).

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

93241368 is a wasteful number, since it uses less digits than its factorization.

93241368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 93241368 is about 9656.1569995522. The cubic root of 93241368 is about 453.4571062457.

The spelling of 93241368 in words is "ninety-three million, two hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 103 108 127 132 162 198 206 216 254 264 297 309 324 381 396 412 508 594 618 648 762 792 824 891 927 1016 1133 1143 1188 1236 1397 1524 1782 1854 2266 2286 2376 2472 2781 2794 3048 3399 3429 3564 3708 4191 4532 4572 5562 5588 6798 6858 7128 7416 8343 8382 9064 9144 10197 10287 11124 11176 12573 13081 13596 13716 16686 16764 20394 20574 22248 25146 26162 27192 27432 30591 33372 33528 37719 39243 40788 41148 50292 52324 61182 66744 75438 78486 81576 82296 91773 100584 104648 113157 117729 122364 143891 150876 156972 183546 226314 235458 244728 287782 301752 313944 353187 367092 431673 452628 470916 575564 706374 734184 863346 905256 941832 1059561 1151128 1295019 1412748 1726692 2119122 2590038 2825496 3453384 3885057 4238244 5180076 7770114 8476488 10360152 11655171 15540228 23310342 31080456 46620684 93241368