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34037066740 = 22511315060649
BaseRepresentation
bin11111101100110001…
…000110101111110100
310020212002202010211111
4133230301012233310
51024201442113430
623345244244404
72313320202505
oct375461065764
9106762663744
1034037066740
1113487045026
12671ab40704
1332958941a1
14190c68abac
15d43271c2a
hex7ecc46bf4

34037066740 has 24 divisors (see below), whose sum is σ = 72110392200. Its totient is φ = 13494340608.

The previous prime is 34037066737. The next prime is 34037066743. The reversal of 34037066740 is 4766073043.

It is an interprime number because it is at equal distance from previous prime (34037066737) and next prime (34037066743).

It can be written as a sum of positive squares in 4 ways, for example, as 3109623696 + 30927443044 = 55764^2 + 175862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34037066693 and 34037066702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34037066743) 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, 7528065 + ... + 7532584.

It is an arithmetic number, because the mean of its divisors is an integer number (3004599675).

Almost surely, 234037066740 is an apocalyptic number.

It is an amenable number.

34037066740 is an abundant number, since it is smaller than the sum of its proper divisors (38073325460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34037066740 is a wasteful number, since it uses less digits than its factorization.

34037066740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060771 (or 15060769 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 34037066740 in words is "thirty-four billion, thirty-seven million, sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 15060649 30121298 60242596 75303245 150606490 301212980 1701853337 3403706674 6807413348 8509266685 17018533370 34037066740