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354200453343 = 34111687123563
BaseRepresentation
bin1010010011101111111…
…11100000000011011111
31020212020211122100010000
411021313333200003133
521300400304001333
6430414544545343
734406263114632
oct5116777400337
91225224570100
10354200453343
11127240a160a0
1258791022253
1327529ba5789
1413201685c19
159330bc2713
hex5277fe00df

354200453343 has 40 divisors (see below), whose sum is σ = 577274265216. Its totient is φ = 214645107600.

The previous prime is 354200453339. The next prime is 354200453363. The reversal of 354200453343 is 343354002453.

354200453343 is a `hidden beast` number, since 3 + 542 + 0 + 0 + 45 + 33 + 43 = 666.

It is not a de Polignac number, because 354200453343 - 22 = 354200453339 is a prime.

It is a super-3 number, since 3×3542004533433 (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 = 354200453298 and 354200453307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354200453363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15020280 + ... + 15043842.

Almost surely, 2354200453343 is an apocalyptic number.

354200453343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

354200453343 is a deficient number, since it is larger than the sum of its proper divisors (223073811873).

354200453343 is a wasteful number, since it uses less digits than its factorization.

354200453343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40457 (or 40448 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 354200453343 its reverse (343354002453), we get a palindrome (697554455796).

The spelling of 354200453343 in words is "three hundred fifty-four billion, two hundred million, four hundred fifty-three thousand, three hundred forty-three".

Divisors: 1 3 9 11 27 33 81 99 297 891 16871 23563 50613 70689 151839 185581 212067 259193 455517 556743 636201 777579 1366551 1670229 1908603 2332737 5010687 6998211 15032061 20994633 397531373 1192594119 3577782357 4372845103 10733347071 13118535309 32200041213 39355605927 118066817781 354200453343