Search a number
-
+
640283904 = 28321321377
BaseRepresentation
bin100110001010011…
…111010100000000
31122121210210101200
4212022133110000
52302403041104
6143311301200
721603215631
oct4612372400
91577723350
10640283904
112a9472857
1215a51a800
13a2861720
1461071888
153b328b39
hex2629f500

640283904 has 108 divisors (see below), whose sum is σ = 1988196756. Its totient is φ = 197001216.

The previous prime is 640283881. The next prime is 640283909. The reversal of 640283904 is 409382046.

It is a happy number.

640283904 is a `hidden beast` number, since 640 + 2 + 8 + 3 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66585600 + 573698304 = 8160^2 + 23952^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640283909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19264 + ... + 40640.

Almost surely, 2640283904 is an apocalyptic number.

640283904 is a gapful number since it is divisible by the number (64) 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 640283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994098378).

640283904 is an abundant number, since it is smaller than the sum of its proper divisors (1347912852).

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

640283904 is a wasteful number, since it uses less digits than its factorization.

640283904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21412 (or 21395 counting only the distinct ones).

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

The square root of 640283904 is about 25303.8318046892. The cubic root of 640283904 is about 861.9012848056.

The spelling of 640283904 in words is "six hundred forty million, two hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 21377 29952 42754 64131 85508 128262 171016 192393 256524 277901 342032 384786 513048 555802 684064 769572 833703 1026096 1111604 1368128 1539144 1667406 2052192 2223208 2501109 2736256 3078288 3334812 4104384 4446416 5002218 5472512 6156576 6669624 8208768 8892832 10004436 12313152 13339248 16417536 17785664 20008872 24626304 26678496 35571328 40017744 49252608 53356992 71142656 80035488 106713984 160070976 213427968 320141952 640283904