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354200442357 = 311342114871669
BaseRepresentation
bin1010010011101111111…
…11011101010111110101
31020212020211121210001010
411021313333131113311
521300400303123412
6430414544422433
734406263040616
oct5116777352765
91225224553033
10354200442357
11127240a08913
1258791017a19
1327529ba0788
1413201681c0d
159330bbe33c
hex5277fdd5f5

354200442357 has 32 divisors (see below), whose sum is σ = 478185822720. Its totient is φ = 233191203840.

The previous prime is 354200442331. The next prime is 354200442371. The reversal of 354200442357 is 753244002453.

It is not a de Polignac number, because 354200442357 - 27 = 354200442229 is a prime.

It is a super-3 number, since 3×3542004423573 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354200642357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212222319 + ... + 212223987.

It is an arithmetic number, because the mean of its divisors is an integer number (14943306960).

Almost surely, 2354200442357 is an apocalyptic number.

It is an amenable number.

354200442357 is a deficient number, since it is larger than the sum of its proper divisors (123985380363).

354200442357 is a wasteful number, since it uses less digits than its factorization.

354200442357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693.

The product of its (nonzero) digits is 403200, while the sum is 39.

The spelling of 354200442357 in words is "three hundred fifty-four billion, two hundred million, four hundred forty-two thousand, three hundred fifty-seven".

Divisors: 1 3 113 339 421 1263 1487 1669 4461 5007 47573 142719 168031 188597 504093 565791 626027 702649 1878081 2107947 2481803 7445409 70741051 79399337 212223153 238198011 280443739 841331217 1044839063 3134517189 118066814119 354200442357