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649208340 = 22325111917257
BaseRepresentation
bin100110101100100…
…010001000010100
31200020121012102100
4212230202020110
52312144131330
6144230442100
722042115454
oct4654421024
91606535370
10649208340
11303508920
12161503330
13a4667861
1462315d64
153bedd060
hex26b22214

649208340 has 144 divisors (see below), whose sum is σ = 2261488320. Its totient is φ = 149091840.

The previous prime is 649208323. The next prime is 649208341. The reversal of 649208340 is 43802946.

It is a happy number.

649208340 is a `hidden beast` number, since 649 + 2 + 0 + 8 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 649208295 and 649208304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649208341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28992 + ... + 46248.

It is an arithmetic number, because the mean of its divisors is an integer number (15704780).

Almost surely, 2649208340 is an apocalyptic number.

649208340 is a gapful number since it is divisible by the number (60) 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 649208340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130744160).

649208340 is an abundant number, since it is smaller than the sum of its proper divisors (1612279980).

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

649208340 is a wasteful number, since it uses less digits than its factorization.

649208340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302 (or 17297 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 649208340 is about 25479.5671077827. The cubic root of 649208340 is about 865.8872871635.

The spelling of 649208340 in words is "six hundred forty-nine million, two hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 17257 18810 34514 37620 51771 69028 86285 103542 155313 172570 189827 207084 258855 310626 327883 345140 379654 517710 569481 621252 655766 759308 776565 949135 983649 1035420 1138962 1311532 1553130 1639415 1708443 1898270 1967298 2277924 2847405 2950947 3106260 3278830 3416886 3606713 3796540 3934596 4918245 5694810 5901894 6557660 6833772 7213426 8542215 9836490 10820139 11389620 11803788 14426852 14754735 17084430 18033565 19672980 21640278 29509470 32460417 34168860 36067130 43280556 54100695 59018940 64920834 72134260 108201390 129841668 162302085 216402780 324604170 649208340