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34843935204 = 223213241308933
BaseRepresentation
bin100000011100110111…
…000100000111100100
310022221100000022021200
4200130313010013210
51032330021411304
624001310242500
72342315363631
oct403467040744
9108840008250
1034843935204
1113860547271
1269051b6430
133393ab0450
1419878c3188
15d8e003e39
hex81cdc41e4

34843935204 has 72 divisors (see below), whose sum is σ = 95246823672. Its totient is φ = 10676689920.

The previous prime is 34843935151. The next prime is 34843935229. The reversal of 34843935204 is 40253934843.

34843935204 is a `hidden beast` number, since 3 + 4 + 8 + 439 + 3 + 5 + 204 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 174240000 + 34669695204 = 13200^2 + 186198^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34843935204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41679 + ... + 267254.

It is an arithmetic number, because the mean of its divisors is an integer number (1322872551).

Almost surely, 234843935204 is an apocalyptic number.

It is an amenable number.

34843935204 is an abundant number, since it is smaller than the sum of its proper divisors (60402888468).

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

34843935204 is a wasteful number, since it uses less digits than its factorization.

34843935204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309197 (or 309192 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 34843935204 in words is "thirty-four billion, eight hundred forty-three million, nine hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 241 468 482 723 964 1446 2169 2892 3133 4338 6266 8676 9399 12532 18798 28197 37596 56394 112788 308933 617866 926799 1235732 1853598 2780397 3707196 4016129 5560794 8032258 11121588 12048387 16064516 24096774 36145161 48193548 72290322 74452853 144580644 148905706 223358559 297811412 446717118 670075677 893434236 967887089 1340151354 1935774178 2680302708 2903661267 3871548356 5807322534 8710983801 11614645068 17421967602 34843935204