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352350400000 = 2955349631
BaseRepresentation
bin1010010000010011011…
…10000110111000000000
31020200110220102220000211
411020021232012320000
521233103200300000
6425511215523504
734312366661254
oct5101156067000
91220426386024
10352350400000
11126481684695
1258355529594
13272c380bc61
14130a7aa0264
15927357d7ba
hex5209b86e00

352350400000 has 240 divisors, whose sum is σ = 883879365600. Its totient is φ = 140313600000.

The previous prime is 352350399991. The next prime is 352350400001. The reversal of 352350400000 is 4053253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352350400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558399685 + ... + 558400315.

It is an arithmetic number, because the mean of its divisors is an integer number (3682830690).

Almost surely, 2352350400000 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 352350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441939682800).

352350400000 is an abundant number, since it is smaller than the sum of its proper divisors (531528965600).

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

352350400000 is an frugal number, since it uses more digits than its factorization.

352350400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

Adding to 352350400000 its reverse (4053253), we get a palindrome (352354453253).

The spelling of 352350400000 in words is "three hundred fifty-two billion, three hundred fifty million, four hundred thousand".