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818423424 = 273271337211
BaseRepresentation
bin110000110010000…
…010011010000000
32010001000012212200
4300302002122000
53134004022144
6213113353200
726165325060
oct6062023200
92101005780
10818423424
1138aa846a5
121aa108800
13100733820
147a9a33a0
154bcb5c69
hex30c82680

818423424 has 384 divisors, whose sum is σ = 2991031680. Its totient is φ = 209018880.

The previous prime is 818423407. The next prime is 818423483. The reversal of 818423424 is 424324818.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3878679 + ... + 3878889.

It is an arithmetic number, because the mean of its divisors is an integer number (7789145).

Almost surely, 2818423424 is an apocalyptic number.

818423424 is a gapful number since it is divisible by the number (84) 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 818423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495515840).

818423424 is an abundant number, since it is smaller than the sum of its proper divisors (2172608256).

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

818423424 is a wasteful number, since it uses less digits than its factorization.

818423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 818423424 is about 28608.1006709638. The cubic root of 818423424 is about 935.3899158243.

The spelling of 818423424 in words is "eight hundred eighteen million, four hundred twenty-three thousand, four hundred twenty-four".