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354108307840 = 27572192311009
BaseRepresentation
bin1010010011100100111…
…11111111100110000000
31020212000102020212020121
411021302133333212000
521300203211322330
6430401453550024
734404063645100
oct5116237774600
91225012225217
10354108307840
111271a39a9891
12587661a5314
1327513a82101
14131d333b200
159327a7017a
hex52727ff980

354108307840 has 576 divisors, whose sum is σ = 1073896963200. Its totient is φ = 111198044160.

The previous prime is 354108307829. The next prime is 354108307849. The reversal of 354108307840 is 48703801453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354108307849) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350949256 + ... + 350950264.

It is an arithmetic number, because the mean of its divisors is an integer number (1864404450).

Almost surely, 2354108307840 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 354108307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536948481600).

354108307840 is an abundant number, since it is smaller than the sum of its proper divisors (719788655360).

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

354108307840 is a wasteful number, since it uses less digits than its factorization.

354108307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 354108307840 in words is "three hundred fifty-four billion, one hundred eight million, three hundred seven thousand, eight hundred forty".