Search a number
-
+
731438640 = 243352314723
BaseRepresentation
bin101011100110001…
…101111000110000
31212222022221012000
4223212031320300
52444222014030
6200325134000
724061061112
oct5346157060
91788287160
10731438640
11345972749
12184b5a300
13b86c913a
146d1dd3b2
1544332860
hex2b98de30

731438640 has 160 divisors (see below), whose sum is σ = 2629117440. Its totient is φ = 186557184.

The previous prime is 731438639. The next prime is 731438699. The reversal of 731438640 is 46834137.

731438640 is a `hidden beast` number, since 7 + 3 + 1 + 4 + 3 + 8 + 640 = 666.

731438640 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 731438595 and 731438604.

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, 42319 + ... + 57041.

It is an arithmetic number, because the mean of its divisors is an integer number (16431984).

Almost surely, 2731438640 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 731438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314558720).

731438640 is an abundant number, since it is smaller than the sum of its proper divisors (1897678800).

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

731438640 is a wasteful number, since it uses less digits than its factorization.

731438640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 731438640 is about 27045.1222958965. The cubic root of 731438640 is about 901.0024386042.

It can be divided in two parts, 7314 and 38640, that added together give a palindrome (45954).

The spelling of 731438640 in words is "seven hundred thirty-one million, four hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 14723 16560 24840 29446 44169 49680 58892 73615 88338 117784 132507 147230 176676 220845 235568 265014 294460 338629 353352 397521 441690 530028 588920 662535 677258 706704 795042 883380 1015887 1060056 1177840 1325070 1354516 1590084 1693145 1766760 1987605 2031774 2120112 2650140 2709032 3047661 3180168 3386290 3533520 3975210 4063548 5079435 5300280 5418064 6095322 6360336 6772580 7950420 8127096 9142983 10158870 10600560 12190644 13545160 15238305 15900840 16254192 18285966 20317740 24381288 27090320 30476610 31801680 36571932 40635480 45714915 48762576 60953220 73143864 81270960 91429830 121906440 146287728 182859660 243812880 365719320 731438640