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4317434660 = 2257114196691
BaseRepresentation
bin1000000010101011…
…01101001100100100
3102010220000101221102
410001111231030210
532320230402120
61552225335232
7211663406030
oct40125551444
912126011842
104317434660
111916096620
12a05a97518
1353a615086
142cd5851c0
151a4079d75
hex10156d324

4317434660 has 96 divisors (see below), whose sum is σ = 11332500480. Its totient is φ = 1342281600.

The previous prime is 4317434591. The next prime is 4317434683. The reversal of 4317434660 is 664347134.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 641915 + ... + 648605.

It is an arithmetic number, because the mean of its divisors is an integer number (118046880).

Almost surely, 24317434660 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 4317434660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666250240).

4317434660 is an abundant number, since it is smaller than the sum of its proper divisors (7015065820).

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

4317434660 is a wasteful number, since it uses less digits than its factorization.

4317434660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 4317434660 is about 65707.1888000088. The cubic root of 4317434660 is about 1628.3281263042.

The spelling of 4317434660 in words is "four billion, three hundred seventeen million, four hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 419 770 838 1540 1676 2095 2933 4190 4609 5866 6691 8380 9218 11732 13382 14665 18436 23045 26764 29330 32263 33455 46090 46837 58660 64526 66910 73601 92180 93674 129052 133820 147202 161315 187348 234185 294404 322630 368005 468370 515207 645260 736010 936740 1030414 1472020 2060828 2576035 2803529 5152070 5607058 10304140 11214116 14017645 19624703 28035290 30838819 39249406 56070580 61677638 78498812 98123515 123355276 154194095 196247030 215871733 308388190 392494060 431743466 616776380 863486932 1079358665 2158717330 4317434660