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345238012273 = 711217139181953
BaseRepresentation
bin1010000011000011100…
…10100000000101110001
31020000010020020011021011
411001201302200011301
521124021412343043
6422333344430521
733641214454060
oct5014162400561
91200106204234
10345238012273
11123461948500
1256aab618441
132672c145bcb
14129d124a1d7
158ea8e6459d
hex5061ca0171

345238012273 has 96 divisors (see below), whose sum is σ = 465545283840. Its totient is φ = 249719500800.

The previous prime is 345238012261. The next prime is 345238012297. The reversal of 345238012273 is 372210832543.

It is not a de Polignac number, because 345238012273 - 29 = 345238011761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345238012213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362263965 + ... + 362264917.

It is an arithmetic number, because the mean of its divisors is an integer number (4849430040).

Almost surely, 2345238012273 is an apocalyptic number.

It is an amenable number.

345238012273 is a deficient number, since it is larger than the sum of its proper divisors (120307271567).

345238012273 is a wasteful number, since it uses less digits than its factorization.

345238012273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 345238012273 in words is "three hundred forty-five billion, two hundred thirty-eight million, twelve thousand, two hundred seventy-three".

Divisors: 1 7 11 17 77 119 121 139 181 187 847 953 973 1267 1309 1529 1991 2057 2363 3077 6671 10483 10703 13937 14399 16201 16541 16819 21539 21901 25159 25993 33847 73381 113407 115313 117733 132467 153307 172493 176113 178211 181951 236929 276749 285923 372317 427703 807191 927269 1207451 1247477 1457137 1897423 1937243 1960321 2001461 2251939 2606219 2932381 2993921 3044239 4704733 10199959 13281961 13722247 15763573 16028507 20526667 20871653 21309673 23976527 24771329 32256191 32933131 51752063 112199549 146101571 167835689 173399303 225793337 263741797 272484619 354818101 362264441 407600959 1846192579 1907392333 2483726707 2853206713 2901159767 4483610549 20308118369 31385273843 49319716039 345238012273