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34043302100034 = 2337331459589493
BaseRepresentation
bin1111011110110010100101…
…11011011011110001000010
311110112111201020221001121000
413233121102323123301002
513430231140314200114
6200223135503312430
710112355522233043
oct757312273336102
9143474636831530
1034043302100034
11a93575758a357
1239999a0bab716
1315cc367456386
148599c165c8ca
153e08275d5e09
hex1ef652edbc42

34043302100034 has 64 divisors (see below), whose sum is σ = 75807042019200. Its totient is φ = 11324499731136.

The previous prime is 34043302100021. The next prime is 34043302100089. The reversal of 34043302100034 is 43000120334043.

34043302100034 is a `hidden beast` number, since 340 + 4 + 3 + 302 + 10 + 0 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34043302099980 and 34043302100007.

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, 57455392 + ... + 58044884.

It is an arithmetic number, because the mean of its divisors is an integer number (1184485031550).

Almost surely, 234043302100034 is an apocalyptic number.

34043302100034 is an abundant number, since it is smaller than the sum of its proper divisors (41763739919166).

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

34043302100034 is a wasteful number, since it uses less digits than its factorization.

34043302100034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591696 (or 591690 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34043302100034 its reverse (43000120334043), we get a palindrome (77043422434077).

The spelling of 34043302100034 in words is "thirty-four trillion, forty-three billion, three hundred two million, one hundred thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 733 1459 1466 2199 2918 4377 4398 6597 8754 13131 13194 19791 26262 39393 39582 78786 589493 1069447 1178986 1768479 2138894 3208341 3536958 5305437 6416682 9625023 10610874 15916311 19250046 28875069 31832622 57750138 432098369 860070287 864196738 1296295107 1720140574 2580210861 2592590214 3888885321 5160421722 7740632583 7777770642 11666655963 15481265166 23221897749 23333311926 46443795498 630431520371 1260863040742 1891294561113 3782589122226 5673883683339 11347767366678 17021651050017 34043302100034