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85343310 = 232513231181
BaseRepresentation
bin1010001011000…
…11110001001110
312221120220000100
411011203301032
5133321441220
612245111530
72054256213
oct505436116
9187526010
1085343310
11441a0768
12246b85a6
13148b1500
14b497b0a
15775bd90
hex5163c4e

85343310 has 144 divisors (see below), whose sum is σ = 249395328. Its totient is φ = 20217600.

The previous prime is 85343299. The next prime is 85343311. The reversal of 85343310 is 1334358.

It is a happy number.

85343310 is a `hidden beast` number, since 8 + 5 + 343 + 310 = 666.

It is a super-2 number, since 2×853433102 = 14566961123512200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85343311) 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 71 ways as a sum of consecutive naturals, for example, 471420 + ... + 471600.

It is an arithmetic number, because the mean of its divisors is an integer number (1731912).

Almost surely, 285343310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85343310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124697664).

85343310 is an abundant number, since it is smaller than the sum of its proper divisors (164052018).

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

85343310 is a wasteful number, since it uses less digits than its factorization.

85343310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 85343310 is about 9238.1442941751. The cubic root of 85343310 is about 440.2741232608.

Adding to 85343310 its reverse (1334358), we get a palindrome (86677668).

The spelling of 85343310 in words is "eighty-five million, three hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 169 181 186 195 234 279 310 338 362 390 403 465 507 543 558 585 806 845 905 930 1014 1086 1170 1209 1395 1521 1629 1690 1810 2015 2353 2418 2535 2715 2790 3042 3258 3627 4030 4706 5070 5239 5430 5611 6045 7059 7254 7605 8145 10478 11222 11765 12090 14118 15210 15717 16290 16833 18135 21177 23530 26195 28055 30589 31434 33666 35295 36270 42354 47151 50499 52390 56110 61178 70590 72943 78585 84165 91767 94302 100998 105885 145886 152945 157170 168330 183534 211770 218829 235755 252495 275301 305890 364715 437658 458835 471510 504990 550602 656487 729430 917670 948259 1094145 1312974 1376505 1896518 2188290 2753010 2844777 3282435 4741295 5689554 6564870 8534331 9482590 14223885 17068662 28447770 42671655 85343310