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42434310 = 2352389691
BaseRepresentation
bin1010000111011…
…1111100000110
32221211212221010
42201313330012
541330344220
64113303050
71023454122
oct241677406
987755833
1042434310
1121a53586
1212264a86
138a39879
1458c8582
153ad31e0
hex2877f06

42434310 has 64 divisors (see below), whose sum is σ = 107619840. Its totient is φ = 10686720.

The previous prime is 42434309. The next prime is 42434317. The reversal of 42434310 is 1343424.

It is a super-2 number, since 2×424343102 = 3601341330352200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61065 + ... + 61755.

It is an arithmetic number, because the mean of its divisors is an integer number (1681560).

Almost surely, 242434310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53809920).

42434310 is an abundant number, since it is smaller than the sum of its proper divisors (65185530).

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

42434310 is a wasteful number, since it uses less digits than its factorization.

42434310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42434310 is about 6514.1622638679. The cubic root of 42434310 is about 348.7967114113.

Adding to 42434310 its reverse (1343424), we get a palindrome (43777734).

The spelling of 42434310 in words is "forty-two million, four hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 178 230 267 345 445 534 690 691 890 1335 1382 2047 2073 2670 3455 4094 4146 6141 6910 10235 10365 12282 15893 20470 20730 30705 31786 47679 61410 61499 79465 95358 122998 158930 184497 238395 307495 368994 476790 614990 922485 1414477 1844970 2828954 4243431 7072385 8486862 14144770 21217155 42434310