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442111320 = 233257271353
BaseRepresentation
bin11010010110100…
…001010101011000
31010210220120201100
4122112201111120
51401140030240
6111511551400
713645612200
oct3226412530
91123816640
10442111320
11207618862
1210408b560
1370797141
1442a07400
1528c30e30
hex1a5a1558

442111320 has 288 divisors, whose sum is σ = 1699794720. Its totient is φ = 99348480.

The previous prime is 442111301. The next prime is 442111339. The reversal of 442111320 is 23111244.

It is an interprime number because it is at equal distance from previous prime (442111301) and next prime (442111339).

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

It is a junction number, because it is equal to n+sod(n) for n = 442111293 and 442111302.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1252264 + ... + 1252616.

It is an arithmetic number, because the mean of its divisors is an integer number (5902065).

Almost surely, 2442111320 is an apocalyptic number.

442111320 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 442111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849897360).

442111320 is an abundant number, since it is smaller than the sum of its proper divisors (1257683400).

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

442111320 is a wasteful number, since it uses less digits than its factorization.

442111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 442111320 is about 21026.4433511709. The cubic root of 442111320 is about 761.8051044331.

Adding to 442111320 its reverse (23111244), we get a palindrome (465222564).

The spelling of 442111320 in words is "four hundred forty-two million, one hundred eleven thousand, three hundred twenty".