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34040630331 = 3229130423871
BaseRepresentation
bin11111101100111110…
…101100110000111011
310020212100110012011100
4133230332230300323
51024203400132311
623345452502443
72313362404131
oct375476546073
9106770405140
1034040630331
1113489059444
12672017aa23
133296541216
14190cd37751
15d43727a56
hex7ecfacc3b

34040630331 has 12 divisors (see below), whose sum is σ = 50865310080. Its totient is φ = 21911210160.

The previous prime is 34040630317. The next prime is 34040630347. The reversal of 34040630331 is 13303604043.

It is not a de Polignac number, because 34040630331 - 213 = 34040622139 is a prime.

It is a super-2 number, since 2×340406303312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34040630295 and 34040630304.

It is not an unprimeable number, because it can be changed into a prime (34040630311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65211675 + ... + 65212196.

It is an arithmetic number, because the mean of its divisors is an integer number (4238775840).

Almost surely, 234040630331 is an apocalyptic number.

34040630331 is a deficient number, since it is larger than the sum of its proper divisors (16824679749).

34040630331 is a wasteful number, since it uses less digits than its factorization.

34040630331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130423906 (or 130423903 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 34040630331 in words is "thirty-four billion, forty million, six hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 29 87 261 130423871 391271613 1173814839 3782292259 11346876777 34040630331