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640244400 = 24352599043
BaseRepresentation
bin100110001010010…
…101101010110000
31122121201210012120
4212022111222300
52302400310100
6143310354240
721602662515
oct4612255260
91577653176
10640244400
112a9446104
1215a4bb980
13a2849753
146106130c
153b31c0a0
hex26295ab0

640244400 has 120 divisors (see below), whose sum is σ = 2085908160. Its totient is φ = 167819520.

The previous prime is 640244369. The next prime is 640244431. The reversal of 640244400 is 4442046.

It is an interprime number because it is at equal distance from previous prime (640244369) and next prime (640244431).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×6402444003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 66279 + ... + 75321.

It is an arithmetic number, because the mean of its divisors is an integer number (17382568).

Almost surely, 2640244400 is an apocalyptic number.

640244400 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 640244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042954080).

640244400 is an abundant number, since it is smaller than the sum of its proper divisors (1445663760).

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

640244400 is a wasteful number, since it uses less digits than its factorization.

640244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 640244400 is about 25303.0511994107. The cubic root of 640244400 is about 861.8835586852.

Adding to 640244400 its reverse (4442046), we get a palindrome (644686446).

The spelling of 640244400 in words is "six hundred forty million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 150 177 200 236 240 295 300 354 400 472 590 600 708 885 944 1180 1200 1416 1475 1770 2360 2832 2950 3540 4425 4720 5900 7080 8850 9043 11800 14160 17700 18086 23600 27129 35400 36172 45215 54258 70800 72344 90430 108516 135645 144688 180860 217032 226075 271290 361720 434064 452150 533537 542580 678225 723440 904300 1067074 1085160 1356450 1600611 1808600 2134148 2170320 2667685 2712900 3201222 3617200 4268296 5335370 5425800 6402444 8003055 8536592 10670740 10851600 12804888 13338425 16006110 21341480 25609776 26676850 32012220 40015275 42682960 53353700 64024440 80030550 106707400 128048880 160061100 213414800 320122200 640244400