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42342240 = 2535175189
BaseRepresentation
bin1010000110000…
…1011101100000
32221200012122010
42201201131200
541314422430
64111312520
71022621523
oct241413540
987605563
1042342240
11219a0396
121221b740
138a069a5
1458a2bba
153ab5cb0
hex2861760

42342240 has 96 divisors (see below), whose sum is σ = 141251040. Its totient is φ = 10625024.

The previous prime is 42342239. The next prime is 42342247. The reversal of 42342240 is 4224324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42342247) 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, 5566 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (1471365).

Almost surely, 242342240 is an apocalyptic number.

42342240 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 42342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70625520).

42342240 is an abundant number, since it is smaller than the sum of its proper divisors (98908800).

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

42342240 is a wasteful number, since it uses less digits than its factorization.

42342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42342240 is about 6507.0915161845. The cubic root of 42342240 is about 348.5442665773.

Adding to 42342240 its reverse (4224324), we get a palindrome (46566564).

The spelling of 42342240 in words is "forty-two million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 5189 8160 10378 15567 20756 25945 31134 41512 51890 62268 77835 83024 88213 103780 124536 155670 166048 176426 207560 249072 264639 311340 352852 415120 441065 498144 529278 622680 705704 830240 882130 1058556 1245360 1323195 1411408 1764260 2117112 2490720 2646390 2822816 3528520 4234224 5292780 7057040 8468448 10585560 14114080 21171120 42342240