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42329430 = 232511213223
BaseRepresentation
bin1010000101111…
…0010101010110
32221122120001200
42201132111112
541314020210
64111133330
71022536263
oct241362526
987576050
1042329430
1121991800
1212214246
138a00c00
14589c26a
153ab20c0
hex285e556

42329430 has 216 divisors, whose sum is σ = 136687824. Its totient is φ = 9060480.

The previous prime is 42329429. The next prime is 42329431. The reversal of 42329430 is 3492324.

It is a happy number.

42329430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42329429) and next prime (42329431).

It is a junction number, because it is equal to n+sod(n) for n = 42329394 and 42329403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42329431) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1840399 + ... + 1840421.

It is an arithmetic number, because the mean of its divisors is an integer number (632814).

Almost surely, 242329430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42329430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68343912).

42329430 is an abundant number, since it is smaller than the sum of its proper divisors (94358394).

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

42329430 is a wasteful number, since it uses less digits than its factorization.

42329430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42329430 is about 6506.1071309962. The cubic root of 42329430 is about 348.5091141118.

It can be divided in two parts, 423294 and 30, that added together give a palindrome (423324).

The spelling of 42329430 in words is "forty-two million, three hundred twenty-nine thousand, four hundred thirty".