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34106353344252 = 22327135342672001
BaseRepresentation
bin1111100000101000000010…
…00100110101111011111100
311110202112110101222010112100
413300110001010311323330
513432244302424004002
6200312124210305100
710120050142042350
oct760240104657374
9143675411863470
1034106353344252
11a95a472348352
1239aa058888190
1316052a509a5c7
1485ca83457460
153e22b7b5111c
hex1f0501135efc

34106353344252 has 36 divisors (see below), whose sum is σ = 98529465217456. Its totient is φ = 9744672384000.

The previous prime is 34106353344211. The next prime is 34106353344269. The reversal of 34106353344252 is 25244335360143.

34106353344252 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 6 + 3 + 53 + 344 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 34106353344198 and 34106353344207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67671335749 + ... + 67671336252.

Almost surely, 234106353344252 is an apocalyptic number.

It is an amenable number.

34106353344252 is an abundant number, since it is smaller than the sum of its proper divisors (64423111873204).

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

34106353344252 is a wasteful number, since it uses less digits than its factorization.

34106353344252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135342672018 (or 135342672013 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 34106353344252 in words is "thirty-four trillion, one hundred six billion, three hundred fifty-three million, three hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 135342672001 270685344002 406028016003 541370688004 812056032006 947398704007 1218084048009 1624112064012 1894797408014 2436168096018 2842196112021 3789594816028 4872336192036 5684392224042 8526588336063 11368784448084 17053176672126 34106353344252