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42353340 = 223529101241
BaseRepresentation
bin1010000110010…
…0001010111100
32221200202212020
42201210022330
541320301330
64111440140
71022666061
oct241441274
987622766
1042353340
11219a8767
1212226050
138a0ba63
1458a6c68
153ab9210
hex28642bc

42353340 has 96 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 10752000.

The previous prime is 42353329. The next prime is 42353383. The reversal of 42353340 is 4335324.

It is a self number, because there is not a number n which added to its sum of digits gives 42353340.

It is a congruent number.

It is an unprimeable number.

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, 175620 + ... + 175860.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 242353340 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 42353340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

42353340 is an abundant number, since it is smaller than the sum of its proper divisors (82054020).

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

42353340 is a wasteful number, since it uses less digits than its factorization.

42353340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 42353340 is about 6507.9443759147. The cubic root of 42353340 is about 348.5747208261.

Adding to 42353340 its reverse (4335324), we get a palindrome (46688664).

The spelling of 42353340 in words is "forty-two million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 101 116 145 174 202 241 290 303 348 404 435 482 505 580 606 723 870 964 1010 1205 1212 1446 1515 1740 2020 2410 2892 2929 3030 3615 4820 5858 6060 6989 7230 8787 11716 13978 14460 14645 17574 20967 24341 27956 29290 34945 35148 41934 43935 48682 58580 69890 73023 83868 87870 97364 104835 121705 139780 146046 175740 209670 243410 292092 365115 419340 486820 705889 730230 1411778 1460460 2117667 2823556 3529445 4235334 7058890 8470668 10588335 14117780 21176670 42353340