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42341220 = 2232517101137
BaseRepresentation
bin1010000110000…
…1001101100100
32221200011020100
42201201031210
541314404340
64111304100
71022615535
oct241411544
987604210
1042341220
112199a649
121221b030
138a0639c
1458a268c
153ab5830
hex2861364

42341220 has 144 divisors (see below), whose sum is σ = 138338928. Its totient is φ = 10444800.

The previous prime is 42341171. The next prime is 42341227. The reversal of 42341220 is 2214324.

It can be written as a sum of positive squares in 8 ways, for example, as 6843456 + 35497764 = 2616^2 + 5958^2 .

It is a super-2 number, since 2×423412202 = 3585557822176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42341193 and 42341202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42341227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308992 + ... + 309128.

It is an arithmetic number, because the mean of its divisors is an integer number (960687).

Almost surely, 242341220 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 42341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69169464).

42341220 is an abundant number, since it is smaller than the sum of its proper divisors (95997708).

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

42341220 is a wasteful number, since it uses less digits than its factorization.

42341220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42341220 is about 6507.0131396824. The cubic root of 42341220 is about 348.5414678117.

Adding to 42341220 its reverse (2214324), we get a palindrome (44555544).

The spelling of 42341220 in words is "forty-two million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 101 102 137 153 170 180 202 204 255 274 303 306 340 404 411 505 510 548 606 612 685 765 822 909 1010 1020 1212 1233 1370 1515 1530 1644 1717 1818 2020 2055 2329 2466 2740 3030 3060 3434 3636 4110 4545 4658 4932 5151 6060 6165 6868 6987 8220 8585 9090 9316 10302 11645 12330 13837 13974 15453 17170 18180 20604 20961 23290 24660 25755 27674 27948 30906 34340 34935 41511 41922 46580 51510 55348 61812 69185 69870 77265 83022 83844 103020 104805 124533 138370 139740 154530 166044 207555 209610 235229 249066 276740 309060 415110 419220 470458 498132 622665 705687 830220 940916 1176145 1245330 1411374 2117061 2352290 2490660 2822748 3528435 4234122 4704580 7056870 8468244 10585305 14113740 21170610 42341220