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42302322 = 23219373343
BaseRepresentation
bin1010000101011…
…1101101110010
32221121011212200
42201113231302
541312133242
64110404030
71022364246
oct241275562
987534780
1042302322
11219733a7
1212200616
1389c177a
145892426
153aa904c
hex2857b72

42302322 has 48 divisors (see below), whose sum is σ = 99116160. Its totient is φ = 12993696.

The previous prime is 42302311. The next prime is 42302333. The reversal of 42302322 is 22320324.

42302322 is a `hidden beast` number, since 42 + 302 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (42302311) and next prime (42302333).

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 = 42302295 and 42302304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10983 + ... + 14325.

It is an arithmetic number, because the mean of its divisors is an integer number (2064920).

Almost surely, 242302322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42302322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49558080).

42302322 is an abundant number, since it is smaller than the sum of its proper divisors (56813838).

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

42302322 is a wasteful number, since it uses less digits than its factorization.

42302322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42302322 is about 6504.0235239427. The cubic root of 42302322 is about 348.4347025066.

Adding to 42302322 its reverse (22320324), we get a palindrome (64622646).

It can be divided in two parts, 42302 and 322, that added together give a palindrome (42624).

The spelling of 42302322 in words is "forty-two million, three hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 3343 4218 6327 6686 10029 12654 20058 30087 60174 63517 123691 127034 190551 247382 371073 381102 571653 742146 1113219 1143306 2226438 2350129 4700258 7050387 14100774 21151161 42302322