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34444103381 = 3713767710037
BaseRepresentation
bin100000000101000001…
…110100111011010101
310021220110122202010122
4200011001310323111
51031020142302011
623453504401325
72326362022322
oct400501647325
9107813582118
1034444103381
1113675886746
126813316245
13332bcca57c
14194a763b49
15d68d753db
hex805074ed5

34444103381 has 16 divisors (see below), whose sum is σ = 35689426416. Its totient is φ = 33216109056.

The previous prime is 34444103377. The next prime is 34444103383. The reversal of 34444103381 is 18330144443.

It can be written as a sum of positive squares in 8 ways, for example, as 9147200881 + 25296902500 = 95641^2 + 159050^2 .

It is a cyclic number.

It is not a de Polignac number, because 34444103381 - 22 = 34444103377 is a prime.

It is a super-2 number, since 2×344441033812 (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 (34444103383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3426695 + ... + 3436731.

It is an arithmetic number, because the mean of its divisors is an integer number (2230589151).

Almost surely, 234444103381 is an apocalyptic number.

It is an amenable number.

34444103381 is a deficient number, since it is larger than the sum of its proper divisors (1245323035).

34444103381 is a wasteful number, since it uses less digits than its factorization.

34444103381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888.

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 34444103381 in words is "thirty-four billion, four hundred forty-four million, one hundred three thousand, three hundred eighty-one".

Divisors: 1 37 137 677 5069 10037 25049 92749 371369 1375069 3431713 6795049 50877553 251416813 930921713 34444103381