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34204434101004 = 22337195593938699
BaseRepresentation
bin1111100011011110101110…
…01001001111001100001100
311111002220121211012210222210
413301233113021033030030
513440401140112213004
6200425144453310420
710130121522523446
oct761572711171414
9144086554183883
1034204434101004
11a998023384602
123a0506b935410
13161160609964b
14863709641496
153e4b0862b089
hex1f1bd724f30c

34204434101004 has 48 divisors (see below), whose sum is σ = 81971594208000. Its totient is φ = 11092759989696.

The previous prime is 34204434100999. The next prime is 34204434101023. The reversal of 34204434101004 is 40010143440243.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714847 + ... + 10653545.

It is an arithmetic number, because the mean of its divisors is an integer number (1707741546000).

Almost surely, 234204434101004 is an apocalyptic number.

It is an amenable number.

34204434101004 is an abundant number, since it is smaller than the sum of its proper divisors (47767160106996).

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

34204434101004 is a wasteful number, since it uses less digits than its factorization.

34204434101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958302 (or 3958300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34204434101004 its reverse (40010143440243), we get a palindrome (74214577541247).

The spelling of 34204434101004 in words is "thirty-four trillion, two hundred four billion, four hundred thirty-four million, one hundred one thousand, four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 19559 39118 58677 78236 117354 234708 723683 1447366 2171049 2894732 3938699 4342098 7877398 8684196 11816097 15754796 23632194 47264388 145731863 291463726 437195589 582927452 874391178 1748782356 77037013741 154074027482 231111041223 308148054964 462222082446 924444164892 2850369508417 5700739016834 8551108525251 11401478033668 17102217050502 34204434101004