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34616461644 = 22341011057831
BaseRepresentation
bin100000001111010011…
…010100100101001100
310022100110222110020000
4200033103110211030
51031343303233034
623522542524300
72333554032462
oct401723244514
9108313873200
1034616461644
11137540a9a96
126860b96690
1333589270cb
1419655cc832
15d7906e599
hex80f4d494c

34616461644 has 60 divisors (see below), whose sum is σ = 91390337808. Its totient is φ = 11424564000.

The previous prime is 34616461609. The next prime is 34616461657. The reversal of 34616461644 is 44616461643.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34616461644.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 496192 + ... + 561639.

Almost surely, 234616461644 is an apocalyptic number.

It is an amenable number.

34616461644 is an abundant number, since it is smaller than the sum of its proper divisors (56773876164).

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

34616461644 is a wasteful number, since it uses less digits than its factorization.

34616461644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057948 (or 1057937 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

Subtracting 34616461644 from its reverse (44616461643), we obtain a palindrome (9999999999).

The spelling of 34616461644 in words is "thirty-four billion, six hundred sixteen million, four hundred sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 1057831 2115662 3173493 4231324 6346986 9520479 12693972 19040958 28561437 38081916 57122874 85684311 106840931 114245748 171368622 213681862 320522793 342737244 427363724 641045586 961568379 1282091172 1923136758 2884705137 3846273516 5769410274 8654115411 11538820548 17308230822 34616461644