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42324300 = 223252313741
BaseRepresentation
bin1010000101110…
…1000101001100
32221122022000200
42201131011030
541313334200
64111053500
71022515314
oct241350514
987568020
1042324300
1121988967
1212211290
1389cb785
14589a444
153ab0800
hex285d14c

42324300 has 216 divisors, whose sum is σ = 144074112. Its totient is φ = 10368000.

The previous prime is 42324287. The next prime is 42324319. The reversal of 42324300 is 342324.

42324300 is a `hidden beast` number, since 4 + 232 + 430 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1032280 + ... + 1032320.

Almost surely, 242324300 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 42324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

42324300 is an abundant number, since it is smaller than the sum of its proper divisors (101749812).

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

42324300 is a wasteful number, since it uses less digits than its factorization.

42324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

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

The square root of 42324300 is about 6505.7128740823. The cubic root of 42324300 is about 348.4950346720.

Adding to 42324300 its reverse (342324), we get a palindrome (42666624).

It can be divided in two parts, 42324 and 300, that added together give a palindrome (42624).

The spelling of 42324300 in words is "forty-two million, three hundred twenty-four thousand, three hundred".