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346354303453643 = 5094218716129621
BaseRepresentation
bin100111011000000011110010…
…1001110010100100111001011
31200102100010222220212110000202
41032300013211032110213023
5330344132103141004033
63224344545340122415
7132645162342652322
oct11660074516244713
91612303886773022
10346354303453643
11a03a5042952751
1232a1994b53640b
1311b350bc359154
1461758cdd190b9
152a0970c27e8e8
hex13b01e53949cb

346354303453643 has 8 divisors (see below), whose sum is σ = 347043011397360. Its totient is φ = 345665627854560.

The previous prime is 346354303453633. The next prime is 346354303453651.

346354303453643 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-346354303453643 is a prime.

It is a super-2 number, since 2×3463543034536432 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346354303453633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13408373 + ... + 29537993.

It is an arithmetic number, because the mean of its divisors is an integer number (43380376424670).

Almost surely, 2346354303453643 is an apocalyptic number.

346354303453643 is a deficient number, since it is larger than the sum of its proper divisors (688707943717).

346354303453643 is a wasteful number, since it uses less digits than its factorization.

346354303453643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16172317.

The product of its (nonzero) digits is 167961600, while the sum is 56.

The spelling of 346354303453643 in words is "three hundred forty-six trillion, three hundred fifty-four billion, three hundred three million, four hundred fifty-three thousand, six hundred forty-three".

Divisors: 1 509 42187 16129621 21473183 8209977089 680460321127 346354303453643