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345106641 = 31122932783
BaseRepresentation
bin10100100100011…
…110100011010001
3220001101020022110
4110210132203101
51201321403031
654124455533
711360233545
oct2444364321
9801336273
10345106641
11167892800
12976aa5a9
1356661b19
1433b95a25
152046dc46
hex1491e8d1

345106641 has 24 divisors (see below), whose sum is σ = 523232640. Its totient is φ = 201937120.

The previous prime is 345106639. The next prime is 345106673. The reversal of 345106641 is 146601543.

It is not a de Polignac number, because 345106641 - 21 = 345106639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345106599 and 345106608.

It is not an unprimeable number, because it can be changed into a prime (345106621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5865 + ... + 26918.

It is an arithmetic number, because the mean of its divisors is an integer number (21801360).

Almost surely, 2345106641 is an apocalyptic number.

It is an amenable number.

345106641 is a deficient number, since it is larger than the sum of its proper divisors (178125999).

345106641 is a wasteful number, since it uses less digits than its factorization.

345106641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32837 (or 32826 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 345106641 is about 18577.0460784270. The cubic root of 345106641 is about 701.4301651651.

The spelling of 345106641 in words is "three hundred forty-five million, one hundred six thousand, six hundred forty-one".

Divisors: 1 3 11 29 33 87 121 319 363 957 3509 10527 32783 98349 360613 950707 1081839 2852121 3966743 10457777 11900229 31373331 115035547 345106641