Search a number
-
+
641550336 = 2113722131
BaseRepresentation
bin100110001111010…
…100100000000000
31122201012010121120
4212033110200000
52303214102321
6143354352240
721620042100
oct4617244000
91581163546
10641550336
112aa158299
1215aa2b680
13a2bb5cab
14612c1200
153b4c8ec6
hex263d4800

641550336 has 144 divisors (see below), whose sum is σ = 1990563120. Its totient is φ = 183214080.

The previous prime is 641550331. The next prime is 641550341. The reversal of 641550336 is 633055146.

It is an interprime number because it is at equal distance from previous prime (641550331) and next prime (641550341).

It is a junction number, because it is equal to n+sod(n) for n = 641550297 and 641550306.

It is not an unprimeable number, because it can be changed into a prime (641550331) 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, 299991 + ... + 302121.

It is an arithmetic number, because the mean of its divisors is an integer number (13823355).

Almost surely, 2641550336 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 641550336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995281560).

641550336 is an abundant number, since it is smaller than the sum of its proper divisors (1349012784).

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

641550336 is a wasteful number, since it uses less digits than its factorization.

641550336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 641550336 is about 25328.8439530903. The cubic root of 641550336 is about 862.4691685681.

The spelling of 641550336 in words is "six hundred forty-one million, five hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2131 2352 2688 3072 3136 3584 4262 4704 5376 6144 6272 6393 7168 8524 9408 10752 12544 12786 14336 14917 17048 18816 21504 25088 25572 29834 34096 37632 43008 44751 50176 51144 59668 68192 75264 89502 100352 102288 104419 119336 136384 150528 179004 204576 208838 238672 272768 301056 313257 358008 409152 417676 477344 545536 626514 716016 818304 835352 954688 1091072 1253028 1432032 1636608 1670704 1909376 2182144 2506056 2864064 3273216 3341408 3818752 4364288 5012112 5728128 6546432 6682816 7637504 10024224 11456256 13092864 13365632 15275008 20048448 22912512 26731264 30550016 40096896 45825024 53462528 80193792 91650048 106925056 160387584 213850112 320775168 641550336