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4342124000 = 255323109433
BaseRepresentation
bin1000000101100111…
…11000110111100000
3102012121110202100102
410002303320313200
532343040432000
61554510441532
7212413305434
oct40263706740
912177422312
104342124000
11192901a035
12a122032a8
1354277aa56
142d29709c4
151a63053d5
hex102cf8de0

4342124000 has 192 divisors, whose sum is σ = 11260529280. Its totient is φ = 1642291200.

The previous prime is 4342123997. The next prime is 4342124009. The reversal of 4342124000 is 4212434.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342124009) 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, 10027784 + ... + 10028216.

It is an arithmetic number, because the mean of its divisors is an integer number (58648590).

Almost surely, 24342124000 is an apocalyptic number.

4342124000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630264640).

4342124000 is an abundant number, since it is smaller than the sum of its proper divisors (6918405280).

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

4342124000 is a wasteful number, since it uses less digits than its factorization.

4342124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4342124000 is about 65894.7949385989. The cubic root of 4342124000 is about 1631.4261046010.

Adding to 4342124000 its reverse (4212434), we get a palindrome (4346336434).

The spelling of 4342124000 in words is "four billion, three hundred forty-two million, one hundred twenty-four thousand".