Search a number
-
+
644450430 = 235132835839
BaseRepresentation
bin100110011010011…
…000100001111110
31122220122110210110
4212122120201332
52304434403210
6143540450450
721653511141
oct4632304176
91586573713
10644450430
11300859168
1215b9a9a26
13a3690020
1461838058
153b89d420
hex2669887e

644450430 has 64 divisors (see below), whose sum is σ = 1671828480. Its totient is φ = 158046336.

The previous prime is 644450419. The next prime is 644450449. The reversal of 644450430 is 34054446.

644450430 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 (30).

It is a Curzon number.

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, 107451 + ... + 113289.

It is an arithmetic number, because the mean of its divisors is an integer number (26122320).

Almost surely, 2644450430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644450430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835914240).

644450430 is an abundant number, since it is smaller than the sum of its proper divisors (1027378050).

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

644450430 is a wasteful number, since it uses less digits than its factorization.

644450430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145.

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 644450430 is about 25386.0282438983. The cubic root of 644450430 is about 863.7667971655.

The spelling of 644450430 in words is "six hundred forty-four million, four hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 283 390 566 849 1415 1698 2830 3679 4245 5839 7358 8490 11037 11678 17517 18395 22074 29195 35034 36790 55185 58390 75907 87585 110370 151814 175170 227721 379535 455442 759070 1138605 1652437 2277210 3304874 4957311 8262185 9914622 16524370 21481681 24786555 42963362 49573110 64445043 107408405 128890086 214816810 322225215 644450430