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800438430 = 2351173149223
BaseRepresentation
bin101111101101011…
…011100010011110
32001210011111002210
4233231123202132
53114403012210
6211232101250
725556420511
oct5755334236
92053144083
10800438430
11380910270
121a4094826
13c9aa760c
1478440d78
154a411e20
hex2fb5b89e

800438430 has 128 divisors (see below), whose sum is σ = 2148249600. Its totient is φ = 189250560.

The previous prime is 800438423. The next prime is 800438473. The reversal of 800438430 is 34834008.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3589299 + ... + 3589521.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2800438430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800438430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074124800).

800438430 is an abundant number, since it is smaller than the sum of its proper divisors (1347811170).

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

800438430 is a wasteful number, since it uses less digits than its factorization.

800438430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 800438430 is about 28292.0206065244. The cubic root of 800438430 is about 928.4873200685.

The spelling of 800438430 in words is "eight hundred million, four hundred thirty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 149 165 219 223 298 330 365 438 446 447 669 730 745 803 894 1095 1115 1338 1490 1606 1639 2190 2230 2235 2409 2453 3278 3345 4015 4470 4818 4906 4917 6690 7359 8030 8195 9834 10877 12045 12265 14718 16279 16390 21754 24090 24530 24585 32558 32631 33227 36795 48837 49170 54385 65262 66454 73590 81395 97674 99681 108770 119647 162790 163155 166135 179069 199362 239294 244185 326310 332270 358138 358941 365497 488370 498405 537207 598235 717882 730994 895345 996810 1074414 1096491 1196470 1790690 1794705 1827485 2192982 2425571 2686035 3589410 3654970 4851142 5372070 5482455 7276713 10964910 12127855 14553426 24255710 26681281 36383565 53362562 72767130 80043843 133406405 160087686 266812810 400219215 800438430