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34245120360 = 233511181143333
BaseRepresentation
bin11111111001001010…
…110001000101101000
310021101121020100202010
4133321022301011220
51030113222322420
623422035435520
72321424502023
oct377112610550
9107347210663
1034245120360
1113583528870
126778755ba0
1332c9a0b139
14192c1681ba
15d5666c4e0
hex7f92b1168

34245120360 has 128 divisors (see below), whose sum is σ = 112694924160. Its totient is φ = 8255923200.

The previous prime is 34245120281. The next prime is 34245120361. The reversal of 34245120360 is 6302154243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34245120361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167254 + ... + 310586.

It is an arithmetic number, because the mean of its divisors is an integer number (880429095).

Almost surely, 234245120360 is an apocalyptic number.

34245120360 is a gapful number since it is divisible by the number (30) 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 34245120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56347462080).

34245120360 is an abundant number, since it is smaller than the sum of its proper divisors (78449803800).

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

34245120360 is a wasteful number, since it uses less digits than its factorization.

34245120360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143539 (or 143535 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 34245120360 in words is "thirty-four billion, two hundred forty-five million, one hundred twenty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 181 220 264 330 362 440 543 660 724 905 1086 1320 1448 1810 1991 2172 2715 3620 3982 4344 5430 5973 7240 7964 9955 10860 11946 15928 19910 21720 23892 29865 39820 47784 59730 79640 119460 143333 238920 286666 429999 573332 716665 859998 1146664 1433330 1576663 1719996 2149995 2866660 3153326 3439992 4299990 4729989 5733320 6306652 7883315 8599980 9459978 12613304 15766630 17199960 18919956 23649945 25943273 31533260 37839912 47299890 51886546 63066520 77829819 94599780 103773092 129716365 155659638 189199560 207546184 259432730 285376003 311319276 389149095 518865460 570752006 622638552 778298190 856128009 1037730920 1141504012 1426880015 1556596380 1712256018 2283008024 2853760030 3113192760 3424512036 4280640045 5707520060 6849024072 8561280090 11415040120 17122560180 34245120360