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4634312320 = 275112328621
BaseRepresentation
bin1000101000011100…
…11111111010000000
3102221222021110101001
410110032133322000
533442340443240
62043505221344
7222562001431
oct42416377200
912858243331
104634312320
111a68a48490
12a94031854
1358b172051
1431d6ad488
151c1cbe89a
hex11439fe80

4634312320 has 128 divisors (see below), whose sum is σ = 12611998080. Its totient is φ = 1611878400.

The previous prime is 4634312279. The next prime is 4634312329. The reversal of 4634312320 is 232134364.

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

It is not an unprimeable number, because it can be changed into a prime (4634312329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147610 + ... + 176230.

It is an arithmetic number, because the mean of its divisors is an integer number (98531235).

Almost surely, 24634312320 is an apocalyptic number.

4634312320 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 4634312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305999040).

4634312320 is an abundant number, since it is smaller than the sum of its proper divisors (7977685760).

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

4634312320 is a wasteful number, since it uses less digits than its factorization.

4634312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28674 (or 28662 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 4634312320 is about 68075.7836532199. The cubic root of 4634312320 is about 1667.2284001631.

Adding to 4634312320 its reverse (232134364), we get a palindrome (4866446684).

The spelling of 4634312320 in words is "four billion, six hundred thirty-four million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1408 1472 1760 1840 2024 2530 2944 3520 3680 4048 5060 7040 7360 8096 10120 14720 16192 20240 28621 32384 40480 57242 80960 114484 143105 161920 228968 286210 314831 457936 572420 629662 658283 915872 1144840 1259324 1316566 1574155 1831744 2289680 2518648 2633132 3148310 3291415 3663488 4579360 5037296 5266264 6296620 6582830 7241113 9158720 10074592 10532528 12593240 13165660 14482226 18317440 20149184 21065056 25186480 26331320 28964452 36205565 40298368 42130112 50372960 52662640 57928904 72411130 84260224 100745920 105325280 115857808 144822260 201491840 210650560 231715616 289644520 421301120 463431232 579289040 926862464 1158578080 2317156160 4634312320