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3444412104 = 2332723212919
BaseRepresentation
bin1100110101001101…
…1000111011001000
322220001021021010200
43031103120323020
524023232141404
61325441412200
7151233006540
oct31523307310
98801237120
103444412104
11150830a881
1280163a060
1342b7a5993
1424964c320
151525cb839
hexcd4d8ec8

3444412104 has 144 divisors (see below), whose sum is σ = 11145825600. Its totient is φ = 941257152.

The previous prime is 3444412067. The next prime is 3444412117. The reversal of 3444412104 is 4012144443.

3444412104 is a `hidden beast` number, since 3 + 4 + 4 + 441 + 210 + 4 = 666.

3444412104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260157 + ... + 273075.

Almost surely, 23444412104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572912800).

3444412104 is an abundant number, since it is smaller than the sum of its proper divisors (7701413496).

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

3444412104 is a wasteful number, since it uses less digits than its factorization.

3444412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3444412104 is about 58689.1140161444. The cubic root of 3444412104 is about 1510.2135721186.

Adding to 3444412104 its reverse (4012144443), we get a palindrome (7456556547).

The spelling of 3444412104 in words is "three billion, four hundred forty-four million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 529 552 644 828 966 1058 1288 1449 1587 1656 1932 2116 2898 3174 3703 3864 4232 4761 5796 6348 7406 9522 11109 11592 12696 12919 14812 19044 22218 25838 29624 33327 38088 38757 44436 51676 66654 77514 88872 90433 103352 116271 133308 155028 180866 232542 266616 271299 297137 310056 361732 465084 542598 594274 723464 813897 891411 930168 1085196 1188548 1627794 1782822 2079959 2170392 2377096 2674233 3255588 3565644 4159918 5348466 6239877 6511176 6834151 7131288 8319836 10696932 12479754 13668302 16639672 18719631 20502453 21393864 24959508 27336604 37439262 41004906 47839057 49919016 54673208 61507359 74878524 82009812 95678114 123014718 143517171 149757048 164019624 191356228 246029436 287034342 382712456 430551513 492058872 574068684 861103026 1148137368 1722206052 3444412104