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354244052344 = 2372131728314449
BaseRepresentation
bin1010010011110101001…
…01110100010101111000
31020212100212200101200211
411021322211310111320
521300442434133334
6430423143240504
734410332522500
oct5117245642570
91225325611624
10354244052344
11127263594726
12587a3749134
1327535c2c4c0
1413207394a00
159334935a64
hex527a974578

354244052344 has 192 divisors, whose sum is σ = 884204748000. Its totient is φ = 131421782016.

The previous prime is 354244052341. The next prime is 354244052353. The reversal of 354244052344 is 443250442453.

It is a super-3 number, since 3×3542440523443 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 354244052297 and 354244052306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354244052341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24509632 + ... + 24524080.

Almost surely, 2354244052344 is an apocalyptic number.

354244052344 is a gapful number since it is divisible by the number (34) 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 354244052344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442102374000).

354244052344 is an abundant number, since it is smaller than the sum of its proper divisors (529960695656).

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

354244052344 is a wasteful number, since it uses less digits than its factorization.

354244052344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 354244052344 its reverse (443250442453), we get a palindrome (797494494797).

The spelling of 354244052344 in words is "three hundred fifty-four billion, two hundred forty-four million, fifty-two thousand, three hundred forty-four".