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2420342430 = 235112719391
BaseRepresentation
bin1001000001000011…
…0111111010011110
320020200022010122020
42100100313322132
514424101424210
61040100201010
7113656366632
oct22020677236
96220263566
102420342430
111032247100
12576699166
132c758bbac
1418d636dc2
15e2743770
hex90437e9e

2420342430 has 96 divisors (see below), whose sum is σ = 6475521024. Its totient is φ = 578424000.

The previous prime is 2420342429. The next prime is 2420342443. The reversal of 2420342430 is 342430242.

2420342430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2420342430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253035 + ... + 262425.

It is an arithmetic number, because the mean of its divisors is an integer number (67453344).

Almost surely, 22420342430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420342430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237760512).

2420342430 is an abundant number, since it is smaller than the sum of its proper divisors (4055178594).

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

2420342430 is a wasteful number, since it uses less digits than its factorization.

2420342430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9483 counting only the distinct ones).

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

The square root of 2420342430 is about 49196.9758216905. The cubic root of 2420342430 is about 1342.6380107036.

Adding to 2420342430 its reverse (342430242), we get a palindrome (2762772672).

The spelling of 2420342430 in words is "two billion, four hundred twenty million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 121 142 165 213 242 330 355 363 426 605 710 726 781 1065 1210 1562 1815 2130 2343 3630 3905 4686 7810 8591 9391 11715 17182 18782 23430 25773 28173 42955 46955 51546 56346 85910 93910 103301 128865 140865 206602 257730 281730 309903 516505 619806 666761 1033010 1136311 1333522 1549515 2000283 2272622 3099030 3333805 3408933 4000566 5681555 6667610 6817866 7334371 10001415 11363110 14668742 17044665 20002830 22003113 34089330 36671855 44006226 73343710 80678081 110015565 161356162 220031130 242034243 403390405 484068486 806780810 1210171215 2420342430