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4350034944 = 210323712757
BaseRepresentation
bin1000000110100100…
…00100010000000000
3102020011100200010100
410003102010100000
532402102104234
61555352202400
7212540454423
oct40322042000
912204320110
104350034944
111932532702
12a14999400
135442ba798
142d3a2d9ba
151a6d69399
hex103484400

4350034944 has 132 divisors (see below), whose sum is σ = 12901119244. Its totient is φ = 1410711552.

The previous prime is 4350034939. The next prime is 4350034963. The reversal of 4350034944 is 4494300534.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3284665344 + 1065369600 = 57312^2 + 32640^2 .

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 = 4350034899 and 4350034908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334614 + ... + 347370.

Almost surely, 24350034944 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 4350034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450559622).

4350034944 is an abundant number, since it is smaller than the sum of its proper divisors (8551084300).

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

4350034944 is a wasteful number, since it uses less digits than its factorization.

4350034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12820 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4350034944 is about 65954.7947006129. The cubic root of 4350034944 is about 1632.4162721290.

The spelling of 4350034944 in words is "four billion, three hundred fifty million, thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2304 2368 2664 3072 3552 4608 4736 5328 7104 9216 9472 10656 12757 14208 18944 21312 25514 28416 37888 38271 42624 51028 56832 76542 85248 102056 113664 114813 153084 170496 204112 229626 306168 340992 408224 459252 472009 612336 816448 918504 944018 1224672 1416027 1632896 1837008 1888036 2449344 2832054 3265792 3674016 3776072 4248081 4898688 5664108 6531584 7348032 7552144 8496162 9797376 11328216 13063168 14696064 15104288 16992324 19594752 22656432 29392128 30208576 33984648 39189504 45312864 58784256 60417152 67969296 90625728 117568512 120834304 135938592 181251456 241668608 271877184 362502912 483337216 543754368 725005824 1087508736 1450011648 2175017472 4350034944