Search a number
-
+
42343000 = 2353723263
BaseRepresentation
bin1010000110000…
…1101001011000
32221200020200021
42201201221120
541314434000
64111320224
71022623660
oct241415130
987606607
1042343000
11219a0a17
1212220074
138a0713b
1458a31a0
153ab611a
hex2861a58

42343000 has 128 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 13833600.

The previous prime is 42342941. The next prime is 42343009. The reversal of 42343000 is 34324.

42343000 = 2632 + 2642 + ... + 5252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42343009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160869 + ... + 161131.

It is an arithmetic number, because the mean of its divisors is an integer number (926640).

Almost surely, 242343000 is an apocalyptic number.

42343000 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 42343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304960).

42343000 is an abundant number, since it is smaller than the sum of its proper divisors (76266920).

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

42343000 is a wasteful number, since it uses less digits than its factorization.

42343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 42343000 is about 6507.1499137487. The cubic root of 42343000 is about 348.5463519028.

Adding to 42343000 its reverse (34324), we get a palindrome (42377324).

The spelling of 42343000 in words is "forty-two million, three hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 263 280 322 350 460 500 526 575 644 700 805 875 920 1000 1052 1150 1288 1315 1400 1610 1750 1841 2104 2300 2630 2875 3220 3500 3682 4025 4600 5260 5750 6049 6440 6575 7000 7364 8050 9205 10520 11500 12098 13150 14728 16100 18410 20125 23000 24196 26300 30245 32200 32875 36820 40250 42343 46025 48392 52600 60490 65750 73640 80500 84686 92050 120980 131500 151225 161000 169372 184100 211715 230125 241960 263000 302450 338744 368200 423430 460250 604900 756125 846860 920500 1058575 1209800 1512250 1693720 1841000 2117150 3024500 4234300 5292875 6049000 8468600 10585750 21171500 42343000