Search a number
-
+
8341804240 = 2457114133029
BaseRepresentation
bin1111100010011010…
…11101010011010000
3210112100120120011121
413301031131103100
5114041000213430
63455425452024
7413501110660
oct76115352320
923470516147
108341804240
1135a0804aa0
1217497a1014
13a2c2b9a53
14591c401a0
1533c515a7a
hex1f135d4d0

8341804240 has 160 divisors (see below), whose sum is σ = 24770914560. Its totient is φ = 2536550400.

The previous prime is 8341804223. The next prime is 8341804241. The reversal of 8341804240 is 424081438.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8341804196 and 8341804205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8341804241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 236046 + ... + 269074.

It is an arithmetic number, because the mean of its divisors is an integer number (154818216).

Almost surely, 28341804240 is an apocalyptic number.

8341804240 is a gapful number since it is divisible by the number (80) 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 8341804240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385457280).

8341804240 is an abundant number, since it is smaller than the sum of its proper divisors (16429110320).

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

8341804240 is a wasteful number, since it uses less digits than its factorization.

8341804240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33101 (or 33095 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 8341804240 is about 91333.4781993985. The cubic root of 8341804240 is about 2028.0873894290.

Adding to 8341804240 its reverse (424081438), we get a palindrome (8765885678).

The spelling of 8341804240 in words is "eight billion, three hundred forty-one million, eight hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 41 44 55 56 70 77 80 82 88 110 112 140 154 164 176 205 220 280 287 308 328 385 410 440 451 560 574 616 656 770 820 880 902 1148 1232 1435 1540 1640 1804 2255 2296 2870 3080 3157 3280 3608 4510 4592 5740 6160 6314 7216 9020 11480 12628 15785 18040 22960 25256 31570 33029 36080 50512 63140 66058 126280 132116 165145 231203 252560 264232 330290 363319 462406 528464 660580 726638 924812 1156015 1321160 1354189 1453276 1816595 1849624 2312030 2543233 2642320 2708378 2906552 3633190 3699248 4624060 5086466 5416756 5813104 6770945 7266380 9248120 9479323 10172932 10833512 12716165 13541890 14532760 14896079 18496240 18958646 20345864 21667024 25432330 27083780 29065520 29792158 37917292 40691728 47396615 50864660 54167560 59584316 74480395 75834584 94793230 101729320 104272553 108335120 119168632 148960790 151669168 189586460 203458640 208545106 238337264 297921580 379172920 417090212 521362765 595843160 758345840 834180424 1042725530 1191686320 1668360848 2085451060 4170902120 8341804240