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4355105436 = 22321118160761
BaseRepresentation
bin1000000111001010…
…11010001010011100
3102020111220021112100
410003211122022130
532404401333221
62000053005100
7212631533253
oct40345321234
912214807470
104355105436
1119353861a0
12a16623790
13545374686
142d458d79a
151a751b926
hex10395a29c

4355105436 has 72 divisors (see below), whose sum is σ = 12076082928. Its totient is φ = 1312416000.

The previous prime is 4355105393. The next prime is 4355105459. The reversal of 4355105436 is 6345015534.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4355105436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41296 + ... + 102056.

It is an arithmetic number, because the mean of its divisors is an integer number (167723374).

Almost surely, 24355105436 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 4355105436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038041464).

4355105436 is an abundant number, since it is smaller than the sum of its proper divisors (7720977492).

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

4355105436 is a wasteful number, since it uses less digits than its factorization.

4355105436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60963 (or 60958 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 4355105436 is about 65993.2226520269. Note that the first 3 decimals coincide. The cubic root of 4355105436 is about 1633.0502854054.

The spelling of 4355105436 in words is "four billion, three hundred fifty-five million, one hundred five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1086 1629 1991 2172 3258 3982 5973 6516 7964 11946 17919 23892 35838 60761 71676 121522 182283 243044 364566 546849 668371 729132 1093698 1336742 2005113 2187396 2673484 4010226 6015339 8020452 10997741 12030678 21995482 24061356 32993223 43990964 65986446 98979669 120975151 131972892 197959338 241950302 362925453 395918676 483900604 725850906 1088776359 1451701812 2177552718 4355105436