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3677340345 = 35785940771
BaseRepresentation
bin1101101100101111…
…1100001010111001
3100111021120020121120
43123023330022321
530012344342340
61404522055453
7160061606610
oct33313741271
910437506546
103677340345
111617843258
1286764a589
13467b1ba43
1426c562877
15167c8c4d0
hexdb2fc2b9

3677340345 has 32 divisors (see below), whose sum is σ = 6732272640. Its totient is φ = 1679071680.

The previous prime is 3677340341. The next prime is 3677340371. The reversal of 3677340345 is 5430437763.

It is not a de Polignac number, because 3677340345 - 22 = 3677340341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3677340297 and 3677340306.

It is not an unprimeable number, because it can be changed into a prime (3677340341) 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, 69810 + ... + 110580.

It is an arithmetic number, because the mean of its divisors is an integer number (210383520).

Almost surely, 23677340345 is an apocalyptic number.

3677340345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3677340345 is a deficient number, since it is larger than the sum of its proper divisors (3054932295).

3677340345 is a wasteful number, since it uses less digits than its factorization.

3677340345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41645.

The product of its (nonzero) digits is 635040, while the sum is 42.

The square root of 3677340345 is about 60641.0780329638. The cubic root of 3677340345 is about 1543.5164968447.

The spelling of 3677340345 in words is "three billion, six hundred seventy-seven million, three hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 859 2577 4295 6013 12885 18039 30065 40771 90195 122313 203855 285397 611565 856191 1426985 4280955 35022289 105066867 175111445 245156023 525334335 735468069 1225780115 3677340345