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289631430 = 233511113863
BaseRepresentation
bin10001010000110…
…110110011000110
3202011222210122000
4101100312303012
51043121201210
644423450130
710114553334
oct2120666306
9664883560
10289631430
11139542420
1280bb6946
134800a55a
142a674b54
151a661ac0
hex11436cc6

289631430 has 128 divisors (see below), whose sum is σ = 851005440. Its totient is φ = 69511680.

The previous prime is 289631429. The next prime is 289631443. The reversal of 289631430 is 34136982.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 335179 + ... + 336041.

It is an arithmetic number, because the mean of its divisors is an integer number (6648480).

Almost surely, 2289631430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289631430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425502720).

289631430 is an abundant number, since it is smaller than the sum of its proper divisors (561374010).

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

289631430 is a wasteful number, since it uses less digits than its factorization.

289631430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 289631430 is about 17018.5613375514. The cubic root of 289631430 is about 661.6300616840.

The spelling of 289631430 in words is "two hundred eighty-nine million, six hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 113 135 165 198 226 270 297 330 339 495 565 594 678 863 990 1017 1130 1243 1485 1695 1726 2034 2486 2589 2970 3051 3390 3729 4315 5085 5178 6102 6215 7458 7767 8630 9493 10170 11187 12430 12945 15255 15534 18645 18986 22374 23301 25890 28479 30510 33561 37290 38835 46602 47465 55935 56958 67122 77670 85437 94930 97519 111870 116505 142395 167805 170874 195038 233010 256311 284790 292557 335610 427185 487595 512622 585114 854370 877671 975190 1072709 1281555 1462785 1755342 2145418 2563110 2633013 2925570 3218127 4388355 5266026 5363545 6436254 8776710 9654381 10727090 13165065 16090635 19308762 26330130 28963143 32181270 48271905 57926286 96543810 144815715 289631430