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42344880 = 2435533329
BaseRepresentation
bin1010000110001…
…0000110110000
32221200100020220
42201202012300
541320014010
64111333040
71022632314
oct241420660
987610226
1042344880
11219a2376
1212221180
138a07c56
1458a3b44
153ab6970
hex28621b0

42344880 has 80 divisors (see below), whose sum is σ = 133786080. Its totient is φ = 11075584.

The previous prime is 42344879. The next prime is 42344893. The reversal of 42344880 is 8844324.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11056 + ... + 14384.

It is an arithmetic number, because the mean of its divisors is an integer number (1672326).

Almost surely, 242344880 is an apocalyptic number.

42344880 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 42344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66893040).

42344880 is an abundant number, since it is smaller than the sum of its proper divisors (91441200).

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

42344880 is a wasteful number, since it uses less digits than its factorization.

42344880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 42344880 is about 6507.2943686297. The cubic root of 42344880 is about 348.5515102323.

The spelling of 42344880 in words is "forty-two million, three hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 3329 4240 6360 6658 9987 12720 13316 16645 19974 26632 33290 39948 49935 53264 66580 79896 99870 133160 159792 176437 199740 266320 352874 399480 529311 705748 798960 882185 1058622 1411496 1764370 2117244 2646555 2822992 3528740 4234488 5293110 7057480 8468976 10586220 14114960 21172440 42344880