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42398340 = 223517197211
BaseRepresentation
bin1010000110111…
…1001010000100
32221210001120220
42201233022010
541323221330
64112424340
71023244215
oct241571204
987701526
1042398340
1121a29556
12122480b0
138a2639a
1458b940c
153ac7710
hex286f284

42398340 has 96 divisors (see below), whose sum is σ = 126935424. Its totient is φ = 10536960.

The previous prime is 42398339. The next prime is 42398353. The reversal of 42398340 is 4389324.

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, 200835 + ... + 201045.

It is an arithmetic number, because the mean of its divisors is an integer number (1322244).

Almost surely, 242398340 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 42398340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63467712).

42398340 is an abundant number, since it is smaller than the sum of its proper divisors (84537084).

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

42398340 is a wasteful number, since it uses less digits than its factorization.

42398340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42398340 is about 6511.4007709555. The cubic root of 42398340 is about 348.6981295140.

The spelling of 42398340 in words is "forty-two million, three hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 197 204 211 255 340 394 422 510 591 633 788 844 985 1020 1055 1182 1266 1970 2110 2364 2532 2955 3165 3349 3587 3940 4220 5910 6330 6698 7174 10047 10761 11820 12660 13396 14348 16745 17935 20094 21522 33490 35870 40188 41567 43044 50235 53805 66980 71740 83134 100470 107610 124701 166268 200940 207835 215220 249402 415670 498804 623505 706639 831340 1247010 1413278 2119917 2494020 2826556 3533195 4239834 7066390 8479668 10599585 14132780 21199170 42398340