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664022304 = 253211239877
BaseRepresentation
bin100111100101000…
…010110100100000
31201021110211100200
4213211002310200
52324442203204
6145520145200
722312045041
oct4745026440
91637424320
10664022304
11310906870
12166468200
13a775360a
14642908c8
153d467539
hex27942d20

664022304 has 144 divisors (see below), whose sum is σ = 2070956160. Its totient is φ = 200148480.

The previous prime is 664022287. The next prime is 664022311. The reversal of 664022304 is 403220466.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×6640223043 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756714 + ... + 757590.

It is an arithmetic number, because the mean of its divisors is an integer number (14381640).

Almost surely, 2664022304 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 664022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035478080).

664022304 is an abundant number, since it is smaller than the sum of its proper divisors (1406933856).

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

664022304 is a wasteful number, since it uses less digits than its factorization.

664022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 664022304 is about 25768.6302313491. The cubic root of 664022304 is about 872.4239024170.

The spelling of 664022304 in words is "six hundred sixty-four million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 239 264 288 352 396 478 528 717 792 877 956 1056 1434 1584 1754 1912 2151 2629 2631 2868 3168 3508 3824 4302 5258 5262 5736 7016 7648 7887 7893 8604 9647 10516 10524 11472 14032 15774 15786 17208 19294 21032 21048 22944 23661 28064 28941 31548 31572 34416 38588 42064 42096 47322 57882 63096 63144 68832 77176 84128 84192 86823 94644 115764 126192 126288 154352 173646 189288 209603 231528 252384 252576 308704 347292 378576 419206 463056 628809 694584 757152 838412 926112 1257618 1389168 1676824 1886427 2305633 2515236 2778336 3353648 3772854 4611266 5030472 6707296 6916899 7545708 9222532 10060944 13833798 15091416 18445064 20121888 20750697 27667596 30182832 36890128 41501394 55335192 60365664 73780256 83002788 110670384 166005576 221340768 332011152 664022304