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345385053027 = 33717831024921
BaseRepresentation
bin1010000011010101000…
…11011010101101100011
31020000111110220121021000
411001222203122231203
521124322033144102
6422400120203043
733644651340240
oct5015243325543
91200443817230
10345385053027
11123527949393
1256b30909483
1326753749b81
1412a069a45c7
158eb6d0c01c
hex506a8dab63

345385053027 has 32 divisors (see below), whose sum is σ = 585107471360. Its totient is φ = 197252003520.

The previous prime is 345385053019. The next prime is 345385053047. The reversal of 345385053027 is 720350583543.

345385053027 is a `hidden beast` number, since 3 + 45 + 3 + 8 + 50 + 530 + 27 = 666.

It is not a de Polignac number, because 345385053027 - 23 = 345385053019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345385053047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175474 + ... + 849447.

It is an arithmetic number, because the mean of its divisors is an integer number (18284608480).

Almost surely, 2345385053027 is an apocalyptic number.

345385053027 is a deficient number, since it is larger than the sum of its proper divisors (239722418333).

345385053027 is a wasteful number, since it uses less digits than its factorization.

345385053027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026720 (or 1026714 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 345385053027 in words is "three hundred forty-five billion, three hundred eighty-five million, fifty-three thousand, twenty-seven".

Divisors: 1 3 7 9 21 27 63 189 1783 5349 12481 16047 37443 48141 112329 336987 1024921 3074763 7174447 9224289 21523341 27672867 64570023 193710069 1827434143 5482302429 12792039001 16446907287 38376117003 49340721861 115128351009 345385053027