[go: up one dir, main page]

Search a number
-
+
644280 = 233571359
BaseRepresentation
bin10011101010010111000
31012201210020
42131102320
5131104110
621450440
75322240
oct2352270
91181706
10644280
1140006a
12270a20
13197340
1412ab20
15cad70
hex9d4b8

644280 has 128 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 133632.

The previous prime is 644261. The next prime is 644291. The reversal of 644280 is 82446.

644280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 644280.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 644280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10891 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2644280 is an apocalyptic number.

644280 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 644280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

644280 is an abundant number, since it is smaller than the sum of its proper divisors (1774920).

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

644280 is a wasteful number, since it uses less digits than its factorization.

644280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 644280 is about 802.6705426263. The cubic root of 644280 is about 86.3690647138.

Adding to 644280 its product of nonzero digits (1536), we get a triangular number (645816 = T1136).

The spelling of 644280 in words is "six hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 59 60 65 70 78 84 91 104 105 118 120 130 140 156 168 177 182 195 210 236 260 273 280 295 312 354 364 390 413 420 455 472 520 546 590 708 728 767 780 826 840 885 910 1092 1180 1239 1365 1416 1534 1560 1652 1770 1820 2065 2184 2301 2360 2478 2730 3068 3304 3540 3640 3835 4130 4602 4956 5369 5460 6136 6195 7080 7670 8260 9204 9912 10738 10920 11505 12390 15340 16107 16520 18408 21476 23010 24780 26845 30680 32214 42952 46020 49560 53690 64428 80535 92040 107380 128856 161070 214760 322140 644280