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2041430430 = 23513347659
BaseRepresentation
bin111100110101101…
…1100000110011110
312021021022102002110
41321223130012132
513140101233210
6534322534450
7101405605134
oct17153340636
95237272073
102041430430
11958374996
1248b807426
13266c22000
141551a1754
15be348420
hex79adc19e

2041430430 has 128 divisors (see below), whose sum is σ = 5428684800. Its totient is φ = 491068032.

The previous prime is 2041430429. The next prime is 2041430441. The reversal of 2041430430 is 340341402.

It is a junction number, because it is equal to n+sod(n) for n = 2041430397 and 2041430406.

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, 3097441 + ... + 3098099.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 22041430430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041430430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

2041430430 is an abundant number, since it is smaller than the sum of its proper divisors (3387254370).

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

2041430430 is a wasteful number, since it uses less digits than its factorization.

2041430430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2041430430 is about 45182.1915139140. The cubic root of 2041430430 is about 1268.5615039276.

Adding to 2041430430 its reverse (340341402), we get a palindrome (2381771832).

The spelling of 2041430430 in words is "two billion, forty-one million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 169 195 235 282 338 390 470 507 611 659 705 845 1014 1222 1318 1410 1690 1833 1977 2197 2535 3055 3295 3666 3954 4394 5070 6110 6590 6591 7943 8567 9165 9885 10985 13182 15886 17134 18330 19770 21970 23829 25701 30973 32955 39715 42835 47658 51402 61946 65910 79430 85670 92919 103259 111371 119145 128505 154865 185838 206518 222742 238290 257010 309730 309777 334113 402649 464595 516295 556855 619554 668226 805298 929190 1032590 1113710 1207947 1447823 1548885 1670565 2013245 2415894 2895646 3097770 3341130 4026490 4343469 5234437 6039735 7239115 8686938 10468874 12079470 14478230 15703311 21717345 26172185 31406622 43434690 52344370 68047681 78516555 136095362 157033110 204143043 340238405 408286086 680476810 1020715215 2041430430