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34341403042404 = 223213719013662797
BaseRepresentation
bin1111100111011101110110…
…01000010010001001100100
311111121000011102102222000100
413303232323020102021210
514000122143134324104
6201012120041144100
710143040660362303
oct763567310221144
9144530142388010
1034341403042404
11aa4011a814537
123a2771648b030
1316214c39c1333
1486a1c04a043a
153e84731c1139
hex1f3bbb212264

34341403042404 has 72 divisors (see below), whose sum is σ = 87487087674168. Its totient is φ = 11357597836800.

The previous prime is 34341403042381. The next prime is 34341403042417. The reversal of 34341403042404 is 40424030414343.

34341403042404 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 1 + 403 + 0 + 4 + 240 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 229939430400 + 34111463612004 = 479520^2 + 5840502^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7544334 + ... + 11207130.

It is an arithmetic number, because the mean of its divisors is an integer number (1215098439919).

Almost surely, 234341403042404 is an apocalyptic number.

It is an amenable number.

34341403042404 is an abundant number, since it is smaller than the sum of its proper divisors (53145684631764).

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

34341403042404 is a wasteful number, since it uses less digits than its factorization.

34341403042404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664845 (or 3664840 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34341403042404 its reverse (40424030414343), we get a palindrome (74765433456747).

The spelling of 34341403042404 in words is "thirty-four trillion, three hundred forty-one billion, four hundred three million, forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 1901 2466 3802 4932 5703 7604 11406 17109 22812 34218 68436 260437 520874 781311 1041748 1562622 2343933 3125244 3662797 4687866 7325594 9375732 10988391 14651188 21976782 32965173 43953564 65930346 131860692 501803189 1003606378 1505409567 2007212756 3010819134 4516228701 6021638268 6962977097 9032457402 13925954194 18064914804 20888931291 27851908388 41777862582 62666793873 83555725164 125333587746 250667175492 953927862289 1907855724578 2861783586867 3815711449156 5723567173734 8585350760601 11447134347468 17170701521202 34341403042404