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42342440 = 2357971559
BaseRepresentation
bin1010000110000…
…1100000101000
32221200012220112
42201201200220
541314424230
64111313452
71022622230
oct241414050
987605815
1042342440
11219a0558
121221b888
138a06aca
1458a2cc0
153ab5d95
hex2861828

42342440 has 64 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 14358528.

The previous prime is 42342439. The next prime is 42342449. The reversal of 42342440 is 4424324.

It is not an unprimeable number, because it can be changed into a prime (42342449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26381 + ... + 27939.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 242342440 is an apocalyptic number.

42342440 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 42342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

42342440 is an abundant number, since it is smaller than the sum of its proper divisors (67731160).

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

42342440 is a wasteful number, since it uses less digits than its factorization.

42342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 42342440 is about 6507.1068840154. The cubic root of 42342440 is about 348.5448153495.

Adding to 42342440 its reverse (4424324), we get a palindrome (46766764).

The spelling of 42342440 in words is "forty-two million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1559 1940 2716 3118 3395 3880 5432 6236 6790 7795 10913 12472 13580 15590 21826 27160 31180 43652 54565 62360 87304 109130 151223 218260 302446 436520 604892 756115 1058561 1209784 1512230 2117122 3024460 4234244 5292805 6048920 8468488 10585610 21171220 42342440