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3400410244 = 22711217431373
BaseRepresentation
bin1100101010101110…
…0010010010000100
322202222110201221011
43022223202102010
523431001111434
61321230332004
7150160003330
oct31253422204
98688421834
103400410244
111495496600
127aa95a004
1342263a78a
142438767c0
1514d7d8e64
hexcaae2484

3400410244 has 144 divisors (see below), whose sum is σ = 8104973184. Its totient is φ = 1217018880.

The previous prime is 3400410217. The next prime is 3400410269. The reversal of 3400410244 is 4420140043.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 2475942 + ... + 2477314.

It is an arithmetic number, because the mean of its divisors is an integer number (56284536).

Almost surely, 23400410244 is an apocalyptic number.

3400410244 is a gapful number since it is divisible by the number (34) 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 3400410244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052486592).

3400410244 is an abundant number, since it is smaller than the sum of its proper divisors (4704562940).

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

3400410244 is a wasteful number, since it uses less digits than its factorization.

3400410244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3400410244 is about 58313.0366556227. The cubic root of 3400410244 is about 1503.7550723693.

Adding to 3400410244 its reverse (4420140043), we get a palindrome (7820550287).

The spelling of 3400410244 in words is "three billion, four hundred million, four hundred ten thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 43 44 68 77 86 119 121 154 172 187 238 242 301 308 374 473 476 484 602 731 748 847 946 1204 1309 1373 1462 1694 1892 2057 2618 2746 2924 3311 3388 4114 5117 5203 5236 5492 6622 8041 8228 9611 10234 10406 13244 14399 15103 16082 19222 20468 20812 23341 28798 30206 32164 36421 38444 46682 56287 57596 59039 60412 72842 88451 93364 105721 112574 118078 145684 163387 166133 176902 211442 225148 236156 256751 326774 332266 353804 413273 422884 513502 619157 649429 653548 664532 826546 1003663 1027004 1162931 1238314 1298858 1653092 1797257 2007326 2325862 2476628 2597716 2824261 3594514 4014652 4546003 4651724 5648522 7025641 7143719 7189028 9092006 11040293 11297044 14051282 14287438 18184012 19769827 22080586 28102564 28574876 39539654 44161172 50006033 77282051 79079308 100012066 121443223 154564102 200024132 242886446 309128204 485772892 850102561 1700205122 3400410244