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34681100244 = 22372211443631
BaseRepresentation
bin100000010011001001…
…111001011111010100
310022111222121102201020
4200103021321133110
51032011330201434
623533212201140
72335300326300
oct402311713724
9108458542636
1034681100244
1113787638a1a
12687a7691b0
1333691394bb
141970016d00
15d7ea8b849
hex8132797d4

34681100244 has 144 divisors (see below), whose sum is σ = 94944278016. Its totient is φ = 9824068800.

The previous prime is 34681100227. The next prime is 34681100287. The reversal of 34681100244 is 44200118643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54961809 + ... + 54962439.

It is an arithmetic number, because the mean of its divisors is an integer number (659335264).

Almost surely, 234681100244 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 34681100244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47472139008).

34681100244 is an abundant number, since it is smaller than the sum of its proper divisors (60263177772).

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

34681100244 is a wasteful number, since it uses less digits than its factorization.

34681100244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 34681100244 its reverse (44200118643), we get a palindrome (78881218887).

The spelling of 34681100244 in words is "thirty-four billion, six hundred eighty-one million, one hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 211 294 422 443 588 631 633 844 886 1262 1266 1329 1477 1772 1893 2524 2532 2658 2954 3101 3786 4417 4431 5316 5908 6202 7572 8834 8862 9303 10339 12404 13251 17668 17724 18606 20678 21707 26502 30919 31017 37212 41356 43414 53004 61838 62034 65121 86828 92757 93473 123676 124068 130242 133141 185514 186946 260484 266282 279533 280419 371028 373892 399423 532564 559066 560838 654311 798846 838599 931987 1118132 1121676 1308622 1597692 1677198 1863974 1956731 1962933 2617244 2795961 3354396 3727948 3913462 3925866 4580177 5591922 5870193 6523909 7826924 7851732 9160354 11183844 11740386 13047818 13697117 13740531 18320708 19571727 23480772 26095636 27394234 27481062 39143454 41091351 54788468 54962124 58981463 78286908 82182702 117962926 164365404 176944389 235925852 353888778 412870241 707777556 825740482 1238610723 1651480964 2477221446 2890091687 4954442892 5780183374 8670275061 11560366748 17340550122 34681100244