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4312100034 = 2321153676133
BaseRepresentation
bin1000000010000010…
…10110110011000010
3102010111222101012200
410001001112303002
532312344200114
61551515134030
7211600150134
oct40101266302
912114871180
104312100034
111913082640
12a04144316
13539497ba8
142cc997054
151a3874409
hex101056cc2

4312100034 has 96 divisors (see below), whose sum is σ = 10541254464. Its totient is φ = 1262701440.

The previous prime is 4312100029. The next prime is 4312100123. The reversal of 4312100034 is 4300012134.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700032 + ... + 706164.

It is an arithmetic number, because the mean of its divisors is an integer number (109804734).

Almost surely, 24312100034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312100034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270627232).

4312100034 is an abundant number, since it is smaller than the sum of its proper divisors (6229154430).

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

4312100034 is a wasteful number, since it uses less digits than its factorization.

4312100034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4312100034 is about 65666.5823231269. The cubic root of 4312100034 is about 1627.6571953469.

Adding to 4312100034 its reverse (4300012134), we get a palindrome (8612112168).

The spelling of 4312100034 in words is "four billion, three hundred twelve million, one hundred thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 67 99 106 134 159 198 201 318 402 477 583 603 737 954 1166 1206 1474 1749 2211 3498 3551 4422 5247 6133 6633 7102 10494 10653 12266 13266 18399 21306 31959 36798 39061 55197 63918 67463 78122 110394 117183 134926 202389 234366 325049 351549 404778 410911 607167 650098 703098 821822 975147 1214334 1232733 1950294 2465466 2925441 3575539 3698199 4520021 5850882 7151078 7396398 9040042 10726617 13560063 21453234 21778283 27120126 32179851 40680189 43556566 64359702 65334849 81360378 130669698 196004547 239561113 392009094 479122226 718683339 1437366678 2156050017 4312100034