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644430060 = 223352934073
BaseRepresentation
bin100110011010010…
…011100011101100
31122220121102212000
4212122103203230
52304433230220
6143540212300
721653364561
oct4632234354
91586542760
10644430060
1130084492a
1215b99a090
13a3683981
1461830868
153b897390
hex266938ec

644430060 has 96 divisors (see below), whose sum is σ = 2012230080. Its totient is φ = 171219456.

The previous prime is 644430041. The next prime is 644430071. The reversal of 644430060 is 60034446.

It is a happy number.

644430060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 156184 + ... + 160256.

It is an arithmetic number, because the mean of its divisors is an integer number (20960730).

Almost surely, 2644430060 is an apocalyptic number.

644430060 is a gapful number since it is divisible by the number (60) 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 644430060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006115040).

644430060 is an abundant number, since it is smaller than the sum of its proper divisors (1367800020).

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

644430060 is a wasteful number, since it uses less digits than its factorization.

644430060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4376 counting only the distinct ones).

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

The square root of 644430060 is about 25385.6270357854. The cubic root of 644430060 is about 863.7576963284.

The spelling of 644430060 in words is "six hundred forty-four million, four hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 293 540 586 879 1172 1465 1758 2637 2930 3516 4073 4395 5274 5860 7911 8146 8790 10548 12219 13185 15822 16292 17580 20365 24438 26370 31644 36657 39555 40730 48876 52740 61095 73314 79110 81460 109971 122190 146628 158220 183285 219942 244380 366570 439884 549855 733140 1099710 1193389 2199420 2386778 3580167 4773556 5966945 7160334 10740501 11933890 14320668 17900835 21481002 23867780 32221503 35801670 42962004 53702505 64443006 71603340 107405010 128886012 161107515 214810020 322215030 644430060