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640030248 = 233411136907
BaseRepresentation
bin100110001001100…
…001011000101000
31122121022220110000
4212021201120220
52302321431443
6143302023000
721601111254
oct4611413050
91577286400
10640030248
112a930a220
1215a417a60
13a27a3130
1461007264
153b2c88d3
hex26261628

640030248 has 160 divisors (see below), whose sum is σ = 2106387360. Its totient is φ = 179003520.

The previous prime is 640030243. The next prime is 640030249. The reversal of 640030248 is 842030046.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640030243) 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 39 ways as a sum of consecutive naturals, for example, 89211 + ... + 96117.

It is an arithmetic number, because the mean of its divisors is an integer number (13164921).

Almost surely, 2640030248 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 640030248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053193680).

640030248 is an abundant number, since it is smaller than the sum of its proper divisors (1466357112).

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

640030248 is a wasteful number, since it uses less digits than its factorization.

640030248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 640030248 is about 25298.8191028751. The cubic root of 640030248 is about 861.7874523281.

The spelling of 640030248 in words is "six hundred forty million, thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2808 3432 3564 3861 4212 5148 6907 7128 7722 8424 10296 11583 13814 15444 20721 23166 27628 30888 41442 46332 55256 62163 75977 82884 89791 92664 124326 151954 165768 179582 186489 227931 248652 269373 303908 359164 372978 455862 497304 538746 559467 607816 683793 718328 745956 808119 911724 987701 1077492 1118934 1367586 1491912 1616238 1823448 1975402 2051379 2154984 2237868 2424357 2735172 2963103 3232476 3950804 4102758 4475736 4848714 5470344 5926206 6154137 6464952 7273071 7901608 8205516 8889309 9697428 11852412 12308274 14546142 16411032 17778618 19394856 23704824 24616548 26667927 29092284 35557236 49233096 53335854 58184568 71114472 80003781 106671708 160007562 213343416 320015124 640030248