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42432340 = 22517373373
BaseRepresentation
bin1010000111011…
…1011101010100
32221211210020011
42201313131110
541330313330
64113250004
71023445306
oct241673524
987753204
1042432340
1121a52055
1212263904
138a389c2
1458c7976
153ad282a
hex2877754

42432340 has 48 divisors (see below), whose sum is σ = 96928272. Its totient is φ = 15538176.

The previous prime is 42432337. The next prime is 42432347. The reversal of 42432340 is 4323424.

It can be written as a sum of positive squares in 8 ways, for example, as 15350724 + 27081616 = 3918^2 + 5204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42432347) 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, 10894 + ... + 14266.

It is an arithmetic number, because the mean of its divisors is an integer number (2019339).

Almost surely, 242432340 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 42432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48464136).

42432340 is an abundant number, since it is smaller than the sum of its proper divisors (54495932).

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

42432340 is a wasteful number, since it uses less digits than its factorization.

42432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 42432340 is about 6514.0110531070. The cubic root of 42432340 is about 348.7913137338.

Adding to 42432340 its reverse (4323424), we get a palindrome (46755764).

The spelling of 42432340 in words is "forty-two million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 3373 6290 6746 12580 13492 16865 33730 57341 67460 114682 124801 229364 249602 286705 499204 573410 624005 1146820 1248010 2121617 2496020 4243234 8486468 10608085 21216170 42432340