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354244000000 = 2856118397
BaseRepresentation
bin1010010011110101001…
…01100111100100000000
31020212100212120201220011
411021322211213210000
521300442431000000
6430423142154304
734410332214052
oct5117245474400
91225325521804
10354244000000
11127263559370
12587a3722994
1327535c11727
141320737d8d2
1593349252ba
hex527a967900

354244000000 has 504 divisors, whose sum is σ = 985898005344. Its totient is φ = 125952000000.

The previous prime is 354243999979. The next prime is 354244000009. The reversal of 354244000000 is 442453.

It is a happy number.

It is a super-3 number, since 3×3542440000003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (354244000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3651999952 + ... + 3652000048.

It is an arithmetic number, because the mean of its divisors is an integer number (1956146836).

Almost surely, 2354244000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354244000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492949002672).

354244000000 is an abundant number, since it is smaller than the sum of its proper divisors (631654005344).

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

354244000000 is an frugal number, since it uses more digits than its factorization.

354244000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 354244000000 its reverse (442453), we get a palindrome (354244442453).

The spelling of 354244000000 in words is "three hundred fifty-four billion, two hundred forty-four million", and thus it is an aban number.