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3814326936 = 233471934357
BaseRepresentation
bin1110001101011010…
…0000001010011000
3100211211022212220000
43203112200022120
530302431430221
61430254133000
7163344146460
oct34326401230
910754285800
103814326936
1116880a7312
128a54b1160
1348a3125b4
14282820ba0
15174ceae26
hexe35a0298

3814326936 has 160 divisors (see below), whose sum is σ = 12275963040. Its totient is φ = 1083912192.

The previous prime is 3814326917. The next prime is 3814326973. The reversal of 3814326936 is 6396234183.

3814326936 is a `hidden beast` number, since 381 + 4 + 3 + 269 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3814326891 and 3814326900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 873270 + ... + 877626.

It is an arithmetic number, because the mean of its divisors is an integer number (76724769).

Almost surely, 23814326936 is an apocalyptic number.

3814326936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3814326936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137981520).

3814326936 is an abundant number, since it is smaller than the sum of its proper divisors (8461636104).

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

3814326936 is a wasteful number, since it uses less digits than its factorization.

3814326936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4562 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3814326936 is about 61760.2374995433. The cubic root of 3814326936 is about 1562.4494360256.

The spelling of 3814326936 in words is "three billion, eight hundred fourteen million, three hundred twenty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 193 216 252 324 378 386 504 567 579 648 756 772 1134 1158 1351 1512 1544 1737 2268 2316 2702 3474 4053 4357 4536 4632 5211 5404 6948 8106 8714 10422 10808 12159 13071 13896 15633 16212 17428 20844 24318 26142 30499 31266 32424 34856 36477 39213 41688 48636 52284 60998 62532 72954 78426 91497 97272 104568 109431 117639 121996 125064 145908 156852 182994 218862 235278 243992 274491 291816 313704 352917 365988 437724 470556 548982 705834 731976 823473 840901 875448 941112 1097964 1411668 1646946 1681802 2195928 2470419 2522703 2823336 3293892 3363604 4940838 5045406 5886307 6587784 6727208 7568109 9881676 10090812 11772614 15136218 17658921 19763352 20181624 22704327 23545228 30272436 35317842 45408654 47090456 52976763 60544872 68112981 70635684 90817308 105953526 136225962 141271368 158930289 181634616 211907052 272451924 317860578 423814104 476790867 544903848 635721156 953581734 1271442312 1907163468 3814326936