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34745877309 = 31113331244691
BaseRepresentation
bin100000010111000001…
…000000001100111101
310022200111111110010210
4200113001000030331
51032124421033214
623543444423033
72340015040563
oct402701001475
9108614443123
1034745877309
1113810161990
1268983a7a79
133379699920
141978879a33
15d855d4b59
hex81704033d

34745877309 has 32 divisors (see below), whose sum is σ = 54591763968. Its totient is φ = 19379448000.

The previous prime is 34745877269. The next prime is 34745877319. The reversal of 34745877309 is 90377854743.

It is a happy number.

It is not a de Polignac number, because 34745877309 - 27 = 34745877181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34745877319) 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 31 ways as a sum of consecutive naturals, for example, 19654 + ... + 264344.

It is an arithmetic number, because the mean of its divisors is an integer number (1705992624).

Almost surely, 234745877309 is an apocalyptic number.

34745877309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34745877309 is a deficient number, since it is larger than the sum of its proper divisors (19845886659).

34745877309 is a wasteful number, since it uses less digits than its factorization.

34745877309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245049.

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 34745877309 in words is "thirty-four billion, seven hundred forty-five million, eight hundred seventy-seven thousand, three hundred nine".

Divisors: 1 3 11 13 33 39 143 331 429 993 3641 4303 10923 12909 47333 141999 244691 734073 2691601 3180983 8074803 9542949 34990813 80992721 104972439 242978163 890919931 1052905373 2672759793 3158716119 11581959103 34745877309