[go: up one dir, main page]

Search a number
-
+
4301434240 = 275231072731
BaseRepresentation
bin1000000000110001…
…01010110110000000
3102002202220111111021
410000120222312000
532302131343430
61550454355224
7211410405415
oct40030526600
912082814437
104301434240
111908058234
12a0065bb14
1353720227c
142cb3bc10c
151a296907a
hex10062ad80

4301434240 has 128 divisors (see below), whose sum is σ = 10834456320. Its totient is φ = 1629788160.

The previous prime is 4301434201. The next prime is 4301434253. The reversal of 4301434240 is 424341034.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573675 + ... + 1576405.

It is an arithmetic number, because the mean of its divisors is an integer number (84644190).

Almost surely, 24301434240 is an apocalyptic number.

4301434240 is a gapful number since it is divisible by the number (40) 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 4301434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417228160).

4301434240 is an abundant number, since it is smaller than the sum of its proper divisors (6533022080).

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

4301434240 is a wasteful number, since it uses less digits than its factorization.

4301434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4301434240 is about 65585.3203087398. The cubic root of 4301434240 is about 1626.3141073546.

Adding to 4301434240 its reverse (424341034), we get a palindrome (4725775274).

The spelling of 4301434240 in words is "four billion, three hundred one million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 107 115 128 160 184 214 230 320 368 428 460 535 640 736 856 920 1070 1472 1712 1840 2140 2461 2731 2944 3424 3680 4280 4922 5462 6848 7360 8560 9844 10924 12305 13655 13696 14720 17120 19688 21848 24610 27310 34240 39376 43696 49220 54620 62813 68480 78752 87392 98440 109240 125626 157504 174784 196880 218480 251252 292217 314065 315008 349568 393760 436960 502504 584434 628130 787520 873920 1005008 1168868 1256260 1461085 1575040 1747840 2010016 2337736 2512520 2922170 4020032 4675472 5025040 5844340 6720991 8040064 9350944 10050080 11688680 13441982 18701888 20100160 23377360 26883964 33604955 37403776 40200320 46754720 53767928 67209910 93509440 107535856 134419820 187018880 215071712 268839640 430143424 537679280 860286848 1075358560 2150717120 4301434240