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345384263071 = 19231173178397
BaseRepresentation
bin1010000011010101000…
…00011001110110011111
31020000111102102110122101
411001222200121312133
521124321332404241
6422400051225531
733644641540201
oct5015240316637
91200442373571
10345384263071
11123527459931
1256b305a82a7
1326753531443
1412a0683a771
158eb6c02e31
hex506a819d9f

345384263071 has 24 divisors (see below), whose sum is σ = 378454944384. Its totient is φ = 314818989120.

The previous prime is 345384263057. The next prime is 345384263089. The reversal of 345384263071 is 170362483543.

It is a de Polignac number, because none of the positive numbers 2k-345384263071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345384263051) 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 23 ways as a sum of consecutive naturals, for example, 1846845 + ... + 2025241.

It is an arithmetic number, because the mean of its divisors is an integer number (15768956016).

Almost surely, 2345384263071 is an apocalyptic number.

345384263071 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

345384263071 is a deficient number, since it is larger than the sum of its proper divisors (33070681313).

345384263071 is a wasteful number, since it uses less digits than its factorization.

345384263071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178639 (or 178620 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 345384263071 in words is "three hundred forty-five billion, three hundred eighty-four million, two hundred sixty-three thousand, seventy-one".

Divisors: 1 19 31 173 361 589 3287 5363 11191 62453 101897 178397 1936043 3389543 5530307 30862681 64401317 105075833 586390939 956743111 1996440827 11141427841 18178119109 345384263071