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42343600 = 24521317479
BaseRepresentation
bin1010000110000…
…1110010110000
32221200021111111
42201201302300
541314443400
64111323104
71022625505
oct241416260
987607444
1042343600
11219a1412
1212220494
138a074b0
1458a34ac
153ab63ba
hex2861cb0

42343600 has 120 divisors (see below), whose sum is σ = 116242560. Its totient is φ = 14684160.

The previous prime is 42343573. The next prime is 42343601. The reversal of 42343600 is 634324.

It is not an unprimeable number, because it can be changed into a prime (42343601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88161 + ... + 88639.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 242343600 is an apocalyptic number.

42343600 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 42343600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

42343600 is an abundant number, since it is smaller than the sum of its proper divisors (73898960).

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

42343600 is a wasteful number, since it uses less digits than its factorization.

42343600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 42343600 is about 6507.1960167187. The cubic root of 42343600 is about 348.5479981947.

Adding to 42343600 its reverse (634324), we get a palindrome (42977924).

The spelling of 42343600 in words is "forty-two million, three hundred forty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 325 340 400 425 442 479 520 650 680 850 884 958 1040 1105 1300 1360 1700 1768 1916 2210 2395 2600 3400 3536 3832 4420 4790 5200 5525 6227 6800 7664 8143 8840 9580 11050 11975 12454 16286 17680 19160 22100 23950 24908 31135 32572 38320 40715 44200 47900 49816 62270 65144 81430 88400 95800 99632 105859 124540 130288 155675 162860 191600 203575 211718 249080 311350 325720 407150 423436 498160 529295 622700 651440 814300 846872 1058590 1245400 1628600 1693744 2117180 2490800 2646475 3257200 4234360 5292950 8468720 10585900 21171800 42343600