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4342242300 = 22352112375361
BaseRepresentation
bin1000000101101000…
…10101101111111100
3102012121200202121220
410002310111233330
532343103223200
61554513153340
7212414310354
oct40264255774
912177622556
104342242300
11192909aa00
12a1225b850
135427bc856
142d29a1b64
151a632a4a0
hex102d15bfc

4342242300 has 432 divisors, whose sum is σ = 14687247456. Its totient is φ = 988416000.

The previous prime is 4342242277. The next prime is 4342242371. The reversal of 4342242300 is 32422434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71184270 + ... + 71184330.

It is an arithmetic number, because the mean of its divisors is an integer number (33998258).

Almost surely, 24342242300 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 4342242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343623728).

4342242300 is an abundant number, since it is smaller than the sum of its proper divisors (10345005156).

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

4342242300 is a wasteful number, since it uses less digits than its factorization.

4342242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

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

The square root of 4342242300 is about 65895.6925754635. The cubic root of 4342242300 is about 1631.4409203882.

Adding to 4342242300 its reverse (32422434), we get a palindrome (4374664734).

It can be divided in two parts, 4342 and 242300, that added together give a palindrome (246642).

The spelling of 4342242300 in words is "four billion, three hundred forty-two million, two hundred forty-two thousand, three hundred".