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42430344 = 23311219769
BaseRepresentation
bin1010000111011…
…0111110001000
32221211200111020
42201312332020
541330232334
64113232440
71023436425
oct241667610
987750436
1042430344
1121a50600
1212262720
138a37b18
1458c6d4c
153ad1e49
hex2876f88

42430344 has 96 divisors (see below), whose sum is σ = 122892000. Its totient is φ = 12165120.

The previous prime is 42430327. The next prime is 42430357. The reversal of 42430344 is 44303424.

It is a happy number.

42430344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54792 + ... + 55560.

It is an arithmetic number, because the mean of its divisors is an integer number (1280125).

Almost surely, 242430344 is an apocalyptic number.

42430344 is a gapful number since it is divisible by the number (44) 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 42430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61446000).

42430344 is an abundant number, since it is smaller than the sum of its proper divisors (80461656).

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

42430344 is a wasteful number, since it uses less digits than its factorization.

42430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 42430344 is about 6513.8578430911. The cubic root of 42430344 is about 348.7858446476.

Adding to 42430344 its reverse (44303424), we get a palindrome (86733768).

Subtracting 42430344 from its reverse (44303424), we obtain a triangular number (1873080 = T1935).

The spelling of 42430344 in words is "forty-two million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 769 836 968 1254 1452 1538 1672 2299 2307 2508 2904 3076 4598 4614 5016 6152 6897 8459 9196 9228 13794 14611 16918 18392 18456 25377 27588 29222 33836 43833 50754 55176 58444 67672 87666 93049 101508 116888 160721 175332 186098 203016 279147 321442 350664 372196 482163 558294 642884 744392 964326 1116588 1285768 1767931 1928652 2233176 3535862 3857304 5303793 7071724 10607586 14143448 21215172 42430344