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34067740441 = 726411084649
BaseRepresentation
bin11111101110100110…
…000111011100011001
310020221020110112020111
4133232212013130121
51024232320143231
623352301524321
72314142005300
oct375646073431
9106836415214
1034067740441
11134a2395699
1267292736a1
13329c0439c7
141912793437
15d45cd04b1
hex7ee987719

34067740441 has 12 divisors (see below), whose sum is σ = 39691682100. Its totient is φ = 29155338240.

The previous prime is 34067740423. The next prime is 34067740451. The reversal of 34067740441 is 14404776043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19155667216 + 14912073225 = 138404^2 + 122115^2 .

It is not a de Polignac number, because 34067740441 - 215 = 34067707673 is a prime.

It is a super-2 number, since 2×340677404412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34067740394 and 34067740403.

It is not an unprimeable number, because it can be changed into a prime (34067740451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510916 + ... + 573733.

It is an arithmetic number, because the mean of its divisors is an integer number (3307640175).

Almost surely, 234067740441 is an apocalyptic number.

It is an amenable number.

34067740441 is a deficient number, since it is larger than the sum of its proper divisors (5623941659).

34067740441 is a wasteful number, since it uses less digits than its factorization.

34067740441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085304 (or 1085297 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 34067740441 in words is "thirty-four billion, sixty-seven million, seven hundred forty thousand, four hundred forty-one".

Divisors: 1 7 49 641 4487 31409 1084649 7592543 53147801 695260009 4866820063 34067740441