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34301104052404 = 22719595212097523
BaseRepresentation
bin1111100110010010110010…
…00111110101100010110100
311111110011010220210011100011
413303021121013311202310
513443442130114134104
6200541413142030004
710140113222536450
oct763113107654264
9144404126704304
1034301104052404
11aa25020011922
123a1b94a418304
13161a770a05917
1486827a303660
153e73b5329904
hex1f32591f58b4

34301104052404 has 96 divisors (see below), whose sum is σ = 73577785881600. Its totient is φ = 13664432920320.

The previous prime is 34301104052399. The next prime is 34301104052443. The reversal of 34301104052404 is 40425040110343.

It is a super-2 number, since 2×343011040524042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15304387 + ... + 17401909.

It is an arithmetic number, because the mean of its divisors is an integer number (766435269600).

Almost surely, 234301104052404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34301104052404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36788892940800).

34301104052404 is an abundant number, since it is smaller than the sum of its proper divisors (39276681829196).

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

34301104052404 is a wasteful number, since it uses less digits than its factorization.

34301104052404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098133 (or 2098131 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34301104052404 its reverse (40425040110343), we get a palindrome (74726144162747).

The spelling of 34301104052404 in words is "thirty-four trillion, three hundred one billion, one hundred four million, fifty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 38 59 76 118 133 236 266 413 521 532 826 1042 1121 1652 2084 2242 3647 4484 7294 7847 9899 14588 15694 19798 30739 31388 39596 61478 69293 122956 138586 215173 277172 430346 584041 860692 1168082 2097523 2336164 4088287 4195046 8176574 8390092 14682661 16353148 29365322 39852937 58730644 79705874 123753857 159411748 247507714 278970559 495015428 557941118 866276999 1092809483 1115882236 1732553998 2185618966 2351323283 3465107996 4371237932 4702646566 7649666381 9405293132 15299332762 16459262981 20763380177 30598665524 32918525962 41526760354 64475759497 65837051924 83053520708 128951518994 145343661239 257903037988 290687322478 451330316479 581374644956 902660632958 1225039430443 1805321265916 2450078860886 4900157721772 8575276013101 17150552026202 34301104052404