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34034011309 = 731014616033
BaseRepresentation
bin11111101100100101…
…011100110010101101
310020211212222220120101
4133230211130302231
51024200201330214
623345054551101
72313252215524
oct375445346255
9106755886511
1034034011309
1113485348481
126719b08491
13329506453c
14190c0d34bb
15d42d6b774
hex7ec95ccad

34034011309 has 8 divisors (see below), whose sum is σ = 34841824632. Its totient is φ = 33235430400.

The previous prime is 34034011289. The next prime is 34034011369. The reversal of 34034011309 is 90311043043.

It can be written as a sum of positive squares in 4 ways, for example, as 6021294409 + 28012716900 = 77597^2 + 167370^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34034011309 - 29 = 34034010797 is a prime.

It is a super-2 number, since 2×340340113092 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34034011369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2300644 + ... + 2315389.

It is an arithmetic number, because the mean of its divisors is an integer number (4355228079).

Almost surely, 234034011309 is an apocalyptic number.

It is an amenable number.

34034011309 is a deficient number, since it is larger than the sum of its proper divisors (807813323).

34034011309 is a wasteful number, since it uses less digits than its factorization.

34034011309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616207.

The product of its (nonzero) digits is 3888, while the sum is 28.

It can be divided in two parts, 340340 and 11309, that added together give a square (351649 = 5932).

The spelling of 34034011309 in words is "thirty-four billion, thirty-four million, eleven thousand, three hundred nine".

Divisors: 1 73 101 7373 4616033 336970409 466219333 34034011309