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4634323540 = 22571129103769
BaseRepresentation
bin1000101000011101…
…00010101001010100
3102221222022000202121
410110032202221110
533442341323130
62043505345324
7222562046230
oct42416425124
912858260677
104634323540
111a68a55960
12a94038244
1358b1771a2
1431d6b35c0
151c1cc2d7a
hex1143a2a54

4634323540 has 96 divisors (see below), whose sum is σ = 12552019200. Its totient is φ = 1394641920.

The previous prime is 4634323531. The next prime is 4634323543. The reversal of 4634323540 is 453234364.

It is a junction number, because it is equal to n+sod(n) for n = 4634323496 and 4634323505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4634323543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7225 + ... + 96544.

It is an arithmetic number, because the mean of its divisors is an integer number (130750200).

Almost surely, 24634323540 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 4634323540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276009600).

4634323540 is an abundant number, since it is smaller than the sum of its proper divisors (7917695660).

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

4634323540 is a wasteful number, since it uses less digits than its factorization.

4634323540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103825 (or 103823 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The square root of 4634323540 is about 68075.8660613290. The cubic root of 4634323540 is about 1667.2297456549.

The spelling of 4634323540 in words is "four billion, six hundred thirty-four million, three hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 11165 22330 44660 103769 207538 415076 518845 726383 1037690 1141459 1452766 2075380 2282918 2905532 3009301 3631915 4565836 5707295 6018602 7263830 7990213 11414590 12037204 14527660 15046505 15980426 21065107 22829180 30093010 31960852 33102311 39951065 42130214 60186020 66204622 79902130 84260428 105325535 132409244 159804260 165511555 210651070 231716177 331023110 421302140 463432354 662046220 926864708 1158580885 2317161770 4634323540