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349313129520 = 24351455471373
BaseRepresentation
bin1010001010101001010…
…11110101110000110000
31020101122020021120012120
411011110223311300300
521210343130121040
6424250000354240
734144206416265
oct5052453656060
91211566246176
10349313129520
111251631783a3
1257848315980
1326c2b4a83a4
1412c9a55526c
159146ac67d0
hex5154af5c30

349313129520 has 40 divisors (see below), whose sum is σ = 1082870702256. Its totient is φ = 93150167808.

The previous prime is 349313129519. The next prime is 349313129527. The reversal of 349313129520 is 25921313943.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (349313129527) 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, 727735447 + ... + 727735926.

Almost surely, 2349313129520 is an apocalyptic number.

349313129520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349313129520 is an abundant number, since it is smaller than the sum of its proper divisors (733557572736).

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

349313129520 is a wasteful number, since it uses less digits than its factorization.

349313129520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455471389 (or 1455471383 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 349313129520 in words is "three hundred forty-nine billion, three hundred thirteen million, one hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1455471373 2910942746 4366414119 5821885492 7277356865 8732828238 11643770984 14554713730 17465656476 21832070595 23287541968 29109427460 34931312952 43664141190 58218854920 69862625904 87328282380 116437709840 174656564760 349313129520