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2034224430 = 235729418147
BaseRepresentation
bin111100100111111…
…1100110100101110
312020202202022022120
41321033330310232
513131230140210
6533504253410
7101260423320
oct17117746456
95222668276
102034224430
119542a2a17
12489311266
1326559b0c4
14154247610
15bd8c3270
hex793fcd2e

2034224430 has 128 divisors (see below), whose sum is σ = 5913492480. Its totient is φ = 437928960.

The previous prime is 2034224419. The next prime is 2034224501. The reversal of 2034224430 is 344224302.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2034224430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245617 + ... + 253763.

It is an arithmetic number, because the mean of its divisors is an integer number (46199160).

Almost surely, 22034224430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956746240).

2034224430 is an abundant number, since it is smaller than the sum of its proper divisors (3879268050).

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

2034224430 is a wasteful number, since it uses less digits than its factorization.

2034224430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2034224430 is about 45102.3772100762. The cubic root of 2034224430 is about 1267.0671218443.

Adding to 2034224430 its reverse (344224302), we get a palindrome (2378448732).

The spelling of 2034224430 in words is "two billion, thirty-four million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 41 42 58 70 82 87 105 123 145 174 203 205 210 246 287 290 406 410 435 574 609 615 861 870 1015 1189 1218 1230 1435 1722 2030 2378 2870 3045 3567 4305 5945 6090 7134 8147 8323 8610 11890 16294 16646 17835 24441 24969 35670 40735 41615 48882 49938 57029 81470 83230 114058 122205 124845 171087 236263 244410 249690 285145 334027 342174 472526 570290 668054 708789 855435 1002081 1181315 1417578 1653841 1670135 1710870 2004162 2338189 2362630 3307682 3340270 3543945 4676378 4961523 5010405 7014567 7087890 8269205 9686783 9923046 10020810 11690945 14029134 16538410 19373566 23381890 24807615 29060349 35072835 48433915 49615230 58120698 67807481 70145670 96867830 135614962 145301745 203422443 290603490 339037405 406844886 678074810 1017112215 2034224430