Search a number
-
+
644357420 = 225723972063
BaseRepresentation
bin100110011010000…
…001110100101100
31122220110202012122
4212122001310230
52304423414140
6143534452112
721652643030
oct4632016454
91586422178
10644357420
113007a52a3
1215b964038
13a36598a5
14618121c0
153b880ab5
hex26681d2c

644357420 has 96 divisors (see below), whose sum is σ = 1631121408. Its totient is φ = 209037312.

The previous prime is 644357407. The next prime is 644357437. The reversal of 644357420 is 24753446.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 311309 + ... + 313371.

It is an arithmetic number, because the mean of its divisors is an integer number (16990848).

Almost surely, 2644357420 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 644357420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815560704).

644357420 is an abundant number, since it is smaller than the sum of its proper divisors (986763988).

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

644357420 is a wasteful number, since it uses less digits than its factorization.

644357420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 644357420 is about 25384.1962646053. The cubic root of 644357420 is about 863.7252409229.

The spelling of 644357420 in words is "six hundred forty-four million, three hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 97 115 140 161 194 230 322 388 460 485 644 679 805 970 1358 1610 1940 2063 2231 2716 3220 3395 4126 4462 6790 8252 8924 10315 11155 13580 14441 15617 20630 22310 28882 31234 41260 44620 47449 57764 62468 72205 78085 94898 144410 156170 189796 200111 237245 288820 312340 332143 400222 474490 664286 800444 948980 1000555 1328572 1400777 1660715 2001110 2801554 3321430 4002220 4602553 5603108 6642860 7003885 9205106 14007770 18410212 23012765 28015540 32217871 46025530 64435742 92051060 128871484 161089355 322178710 644357420