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345608563971 = 311791131173181
BaseRepresentation
bin1010000011101111110…
…00000010110100000011
31020001002001111010122010
411001313320002310003
521130301243021341
6422434222544003
733653334215526
oct5016770026403
91201061433563
10345608563971
1112363202a480
1256b93738003
132678ab46678
1412a28546bbd
158ecb75c716
hex5077e02d03

345608563971 has 32 divisors (see below), whose sum is σ = 513572152320. Its totient is φ = 204978009600.

The previous prime is 345608563967. The next prime is 345608563973. The reversal of 345608563971 is 179365806543.

It is not a de Polignac number, because 345608563971 - 22 = 345608563967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345608563973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292000 + ... + 881181.

It is an arithmetic number, because the mean of its divisors is an integer number (16049129760).

Almost surely, 2345608563971 is an apocalyptic number.

345608563971 is a deficient number, since it is larger than the sum of its proper divisors (167963588349).

345608563971 is a wasteful number, since it uses less digits than its factorization.

345608563971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173387.

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 345608563971 in words is "three hundred forty-five billion, six hundred eight million, five hundred sixty-three thousand, nine hundred seventy-one".

Divisors: 1 3 11 33 79 113 237 339 869 1243 2607 3729 8927 26781 98197 294591 1173181 3519543 12904991 38714973 92681299 132569453 278043897 397708359 1019494289 1458263983 3058482867 4374791949 10472986787 31418960361 115202854657 345608563971