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93484368 = 2434531361
BaseRepresentation
bin1011001001001…
…11010101010000
320111220111110000
411210213111100
5142412444433
613135410000
72213414115
oct544472520
9214814400
1093484368
114885120a
1227383900
13164a1bc3
14c5b690c
158319113
hex5927550

93484368 has 100 divisors (see below), whose sum is σ = 275878548. Its totient is φ = 30551040.

The previous prime is 93484367. The next prime is 93484373. The reversal of 93484368 is 86348439.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 52881984 = 6372^2 + 7272^2 .

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 (93484367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68008 + ... + 69368.

Almost surely, 293484368 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 93484368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137939274).

93484368 is an abundant number, since it is smaller than the sum of its proper divisors (182394180).

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

93484368 is a wasteful number, since it uses less digits than its factorization.

93484368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1419 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 93484368 is about 9668.7314576422. The cubic root of 93484368 is about 453.8506886722.

The spelling of 93484368 in words is "ninety-three million, four hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1361 1431 1908 2544 2722 2862 3816 4083 4293 5444 5724 7632 8166 8586 10888 11448 12249 16332 17172 21776 22896 24498 32664 34344 36747 48996 65328 68688 72133 73494 97992 110241 144266 146988 195984 216399 220482 288532 293976 432798 440964 577064 587952 649197 865596 881928 1154128 1298394 1731192 1763856 1947591 2596788 3462384 3895182 5193576 5842773 7790364 10387152 11685546 15580728 23371092 31161456 46742184 93484368