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640302320 = 24572294993
BaseRepresentation
bin100110001010100…
…011110011110000
31122121211201122202
4212022203303300
52302404133240
6143311522332
721603323420
oct4612436360
91577751582
10640302320
112a9485679
1215a5293a8
13a2869c18
1461078480
153b32e315
hex262a3cf0

640302320 has 80 divisors (see below), whose sum is σ = 1709146560. Its totient is φ = 218529792.

The previous prime is 640302301. The next prime is 640302323. The reversal of 640302320 is 23203046.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 640302292 and 640302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640302323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125744 + ... + 130736.

It is an arithmetic number, because the mean of its divisors is an integer number (21364332).

Almost surely, 2640302320 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 640302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854573280).

640302320 is an abundant number, since it is smaller than the sum of its proper divisors (1068844240).

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

640302320 is a wasteful number, since it uses less digits than its factorization.

640302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 640302320 is about 25304.1956995278. The cubic root of 640302320 is about 861.9095481305.

Adding to 640302320 its reverse (23203046), we get a palindrome (663505366).

The spelling of 640302320 in words is "six hundred forty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 229 280 458 560 916 1145 1603 1832 2290 3206 3664 4580 4993 6412 8015 9160 9986 12824 16030 18320 19972 24965 25648 32060 34951 39944 49930 64120 69902 79888 99860 128240 139804 174755 199720 279608 349510 399440 559216 699020 1143397 1398040 2286794 2796080 4573588 5716985 8003779 9147176 11433970 16007558 18294352 22867940 32015116 40018895 45735880 64030232 80037790 91471760 128060464 160075580 320151160 640302320