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4134230430 = 23511291133823
BaseRepresentation
bin1111011001101011…
…0101100110011110
3101200010021122222120
43312122311212132
531431330333210
61522122523410
7204310243641
oct36632654636
911603248876
104134230430
111831735570
12974666566
1350b68b8c5
142b30d5a58
15192e3c270
hexf66b599e

4134230430 has 128 divisors (see below), whose sum is σ = 11299461120. Its totient is φ = 958863360.

The previous prime is 4134230417. The next prime is 4134230431. The reversal of 4134230430 is 340324314.

It is a super-2 number, since 2×41342304302 = 34183722496675969800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4134230430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134230431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1079499 + ... + 1083321.

It is an arithmetic number, because the mean of its divisors is an integer number (88277040).

Almost surely, 24134230430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134230430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649730560).

4134230430 is an abundant number, since it is smaller than the sum of its proper divisors (7165230690).

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

4134230430 is a wasteful number, since it uses less digits than its factorization.

4134230430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4134230430 is about 64297.9815390810. The cubic root of 4134230430 is about 1604.9625130752.

Adding to 4134230430 its reverse (340324314), we get a palindrome (4474554744).

The spelling of 4134230430 in words is "four billion, one hundred thirty-four million, two hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 113 145 165 174 226 290 319 330 339 435 565 638 678 870 957 1130 1243 1595 1695 1914 2486 3190 3277 3390 3729 3823 4785 6215 6554 7458 7646 9570 9831 11469 12430 16385 18645 19115 19662 22938 32770 36047 37290 38230 42053 49155 57345 72094 84106 98310 108141 110867 114690 126159 180235 210265 216282 221734 252318 332601 360470 420530 431999 540705 554335 630795 665202 863998 1081410 1108670 1219537 1261590 1295997 1663005 2159995 2439074 2591994 3326010 3658611 4319990 4751989 6097685 6479985 7317222 9503978 12195370 12527971 12959970 14255967 18293055 23759945 25055942 28511934 36586110 37583913 47519890 62639855 71279835 75167826 125279710 137807681 142559670 187919565 275615362 375839130 413423043 689038405 826846086 1378076810 2067115215 4134230430