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664164340 = 22576183937
BaseRepresentation
bin100111100101100…
…101011111110100
31201021202001012021
4213211211133310
52330011224330
6145523202524
722313206120
oct4745453764
91637661167
10664164340
113109a3554
12166516444
13a77a3168
14642ca580
153d49467a
hex279657f4

664164340 has 96 divisors (see below), whose sum is σ = 1641394944. Its totient is φ = 221045760.

The previous prime is 664164331. The next prime is 664164373. The reversal of 664164340 is 43461466.

It is a super-2 number, since 2×6641643402 = 882228541055271200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 664164296 and 664164305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708352 + ... + 709288.

It is an arithmetic number, because the mean of its divisors is an integer number (17097864).

Almost surely, 2664164340 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 664164340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820697472).

664164340 is an abundant number, since it is smaller than the sum of its proper divisors (977230604).

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

664164340 is a wasteful number, since it uses less digits than its factorization.

664164340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 664164340 is about 25771.3860706016. The cubic root of 664164340 is about 872.4861025200.

It can be divided in two parts, 66416 and 4340, that added together give a square (70756 = 2662).

The spelling of 664164340 in words is "six hundred sixty-four million, one hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 83 122 140 166 244 305 332 415 427 581 610 830 854 937 1162 1220 1660 1708 1874 2135 2324 2905 3748 4270 4685 5063 5810 6559 8540 9370 10126 11620 13118 18740 20252 25315 26236 32795 35441 50630 57157 65590 70882 77771 101260 114314 131180 141764 155542 177205 228628 285785 311084 354410 388855 400099 544397 571570 708820 777710 800198 1088794 1143140 1555420 1600396 2000495 2177588 2721985 4000990 4744031 5443970 8001980 9488062 10887940 18976124 23720155 33208217 47440310 66416434 94880620 132832868 166041085 332082170 664164340