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420342340 = 2251117167673
BaseRepresentation
bin11001000011011…
…110101001000100
31002021221121021211
4121003132221010
51330101423330
6105413221204
713262564605
oct3103365104
91067847254
10420342340
111a62aa470
12b8931804
13691147a2
143db7bdac
1526d80d2a
hex190dea44

420342340 has 96 divisors (see below), whose sum is σ = 1027240704. Its totient is φ = 142786560.

The previous prime is 420342271. The next prime is 420342341. The reversal of 420342340 is 43243024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (420342341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 624244 + ... + 624916.

It is an arithmetic number, because the mean of its divisors is an integer number (10700424).

Almost surely, 2420342340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513620352).

420342340 is an abundant number, since it is smaller than the sum of its proper divisors (606898364).

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

420342340 is a wasteful number, since it uses less digits than its factorization.

420342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 420342340 is about 20502.2520714189. The cubic root of 420342340 is about 749.0906549380.

Adding to 420342340 its reverse (43243024), we get a palindrome (463585364).

The spelling of 420342340 in words is "four hundred twenty million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 167 170 187 220 334 340 374 668 673 748 835 935 1346 1670 1837 1870 2692 2839 3340 3365 3674 3740 5678 6730 7348 7403 9185 11356 11441 13460 14195 14806 18370 22882 28390 29612 31229 36740 37015 45764 56780 57205 62458 74030 112391 114410 124916 125851 148060 156145 224782 228820 251702 312290 449564 503404 561955 624580 629255 1123910 1236301 1258510 1910647 2247820 2472602 2517020 3821294 4945204 6181505 7642588 9553235 12363010 19106470 21017117 24726020 38212940 42034234 84068468 105085585 210171170 420342340