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210344004024 = 2337211139116981
BaseRepresentation
bin1100001111100101111…
…0101100100110111000
3202002221020100112102120
43003321132230212320
511421241031112044
6240344122001240
721124343351100
oct3037136544670
9662836315376
10210344004024
118122a785560
1234923946220
1316ab237360b
14a275bd0200
155711634519
hex30f97ac9b8

210344004024 has 192 divisors, whose sum is σ = 672131779200. Its totient is φ = 54241286400.

The previous prime is 210344003953. The next prime is 210344004037. The reversal of 210344004024 is 420400443012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 210344003985 and 210344004003.

It is a congruent number.

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, 1739614 + ... + 1856594.

It is an arithmetic number, because the mean of its divisors is an integer number (3500686350).

Almost surely, 2210344004024 is an apocalyptic number.

210344004024 is a gapful number since it is divisible by the number (24) 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 210344004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336065889600).

210344004024 is an abundant number, since it is smaller than the sum of its proper divisors (461787775176).

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

210344004024 is a wasteful number, since it uses less digits than its factorization.

210344004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117154 (or 117143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 210344004024 its reverse (420400443012), we get a palindrome (630744447036).

The spelling of 210344004024 in words is "two hundred ten billion, three hundred forty-four million, four thousand, twenty-four".