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423938944 = 271113192353
BaseRepresentation
bin11001010001001…
…100101110000000
31002112201022220101
4121101030232000
51332012021234
6110022252144
713335264412
oct3121145600
91075638811
10423938944
111a8336670
12b9b87054
1369aa3860
14404369b2
1527341814
hex1944cb80

423938944 has 256 divisors, whose sum is σ = 1110412800. Its totient is φ = 158146560.

The previous prime is 423938939. The next prime is 423938987. The reversal of 423938944 is 449839324.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 423938894 and 423938903.

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 31 ways as a sum of consecutive naturals, for example, 7998822 + ... + 7998874.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2423938944 is an apocalyptic number.

423938944 is a gapful number since it is divisible by the number (44) 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 423938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

423938944 is an abundant number, since it is smaller than the sum of its proper divisors (686473856).

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

423938944 is a wasteful number, since it uses less digits than its factorization.

423938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 423938944 is about 20589.7776578573. Note that the first 3 decimals coincide. The cubic root of 423938944 is about 751.2210887699.

The spelling of 423938944 in words is "four hundred twenty-three million, nine hundred thirty-eight thousand, nine hundred forty-four".