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422454340 = 2257112311927
BaseRepresentation
bin11001001011100…
…010010001000100
31002102220220102001
4121023202101010
51331122014330
6105530355044
713316542210
oct3113422104
91072826361
10422454340
111a7512220
12b958ba84
13696a3ba9
144016b940
152714b9ca
hex192e2444

422454340 has 96 divisors (see below), whose sum is σ = 1154248704. Its totient is φ = 125938560.

The previous prime is 422454323. The next prime is 422454349. The reversal of 422454340 is 43454224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 422454299 and 422454308.

It is not an unprimeable number, because it can be changed into a prime (422454349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29457 + ... + 41383.

It is an arithmetic number, because the mean of its divisors is an integer number (12023424).

Almost surely, 2422454340 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 422454340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577124352).

422454340 is an abundant number, since it is smaller than the sum of its proper divisors (731794364).

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

422454340 is a wasteful number, since it uses less digits than its factorization.

422454340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11977 (or 11975 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 422454340 is about 20553.6940718694. The cubic root of 422454340 is about 750.3431555610.

It can be divided in two parts, 4224 and 54340, that added together give a square (58564 = 2422).

The spelling of 422454340 in words is "four hundred twenty-two million, four hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 644 770 805 1012 1265 1540 1610 1771 2530 3220 3542 5060 7084 8855 11927 17710 23854 35420 47708 59635 83489 119270 131197 166978 238540 262394 274321 333956 417445 524788 548642 655985 834890 918379 1097284 1311970 1371605 1669780 1836758 1920247 2623940 2743210 3017531 3673516 3840494 4591895 5486420 6035062 7680988 9183790 9601235 12070124 15087655 18367580 19202470 21122717 30175310 38404940 42245434 60350620 84490868 105613585 211227170 422454340