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42340000 = 25542973
BaseRepresentation
bin1010000110000…
…0111010100000
32221200002120011
42201200322200
541314340000
64111254304
71022612143
oct241407240
987602504
1042340000
112199973a
121221a394
138a05971
1458a205a
153ab52ba
hex2860ea0

42340000 has 120 divisors (see below), whose sum is σ = 109230660. Its totient is φ = 16128000.

The previous prime is 42339991. The next prime is 42340009. The reversal of 42340000 is 4324.

It is an interprime number because it is at equal distance from previous prime (42339991) and next prime (42340009).

It can be written as a sum of positive squares in 10 ways, for example, as 2347024 + 39992976 = 1532^2 + 6324^2 .

It is not an unprimeable number, because it can be changed into a prime (42340009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579964 + ... + 580036.

Almost surely, 242340000 is an apocalyptic number.

42340000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54615330).

42340000 is an abundant number, since it is smaller than the sum of its proper divisors (66890660).

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

42340000 is an equidigital number, since it uses as much as digits as its factorization.

42340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42340000 is about 6506.9193939990. The cubic root of 42340000 is about 348.5381202096.

Adding to 42340000 its reverse (4324), we get a palindrome (42344324).

The spelling of 42340000 in words is "forty-two million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 73 80 100 116 125 145 146 160 200 232 250 290 292 365 400 464 500 580 584 625 725 730 800 928 1000 1160 1168 1250 1450 1460 1825 2000 2117 2320 2336 2500 2900 2920 3625 3650 4000 4234 4640 5000 5800 5840 7250 7300 8468 9125 10000 10585 11600 11680 14500 14600 16936 18125 18250 20000 21170 23200 29000 29200 33872 36250 36500 42340 45625 52925 58000 58400 67744 72500 73000 84680 91250 105850 116000 145000 146000 169360 182500 211700 264625 290000 292000 338720 365000 423400 529250 580000 730000 846800 1058500 1323125 1460000 1693600 2117000 2646250 4234000 5292500 8468000 10585000 21170000 42340000