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34344522034344 = 23322416612994377
BaseRepresentation
bin1111100111100011101010…
…00010010010110010101000
311111121022012210101011121100
413303301311002102302220
514000200040120044334
6201013353340041400
710143211162360254
oct763616502226250
9144538183334540
1034344522034344
11aa41480368325
123a28246b33260
13162189cc389b2
1486a3d87dd264
153e85a6e1bc99
hex1f3c75092ca8

34344522034344 has 96 divisors (see below), whose sum is σ = 93543709956840. Its totient is φ = 11383419801600.

The previous prime is 34344522034307. The next prime is 34344522034349. The reversal of 34344522034344 is 44343022544343.

34344522034344 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 4 + 5 + 2 + 203 + 434 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32948036241444 + 1396485792900 = 5740038^2 + 1181730^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34344522034344.

It is not an unprimeable number, because it can be changed into a prime (34344522034349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9972484 + ... + 12966860.

Almost surely, 234344522034344 is an apocalyptic number.

It is an amenable number.

34344522034344 is an abundant number, since it is smaller than the sum of its proper divisors (59199187922496).

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

34344522034344 is a wasteful number, since it uses less digits than its factorization.

34344522034344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995291 (or 2995284 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 45.

Adding to 34344522034344 its reverse (44343022544343), we get a palindrome (78687544578687).

The spelling of 34344522034344 in words is "thirty-four trillion, three hundred forty-four billion, five hundred twenty-two million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 661 723 964 1322 1446 1928 1983 2169 2644 2892 3966 4338 5288 5784 5949 7932 8676 11898 15864 17352 23796 47592 159301 318602 477903 637204 955806 1274408 1433709 1911612 2867418 2994377 3823224 5734836 5988754 8983131 11469672 11977508 17966262 23955016 26949393 35932524 53898786 71865048 107797572 215595144 721644857 1443289714 1979283197 2164934571 2886579428 3958566394 4329869142 5773158856 5937849591 6494803713 7917132788 8659738284 11875699182 12989607426 15834265576 17319476568 17813548773 23751398364 25979214852 35627097546 47502796728 51958429704 71254195092 142508390184 477007250477 954014500954 1431021751431 1908029001908 2862043502862 3816058003816 4293065254293 5724087005724 8586130508586 11448174011448 17172261017172 34344522034344