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34040433300 = 22352113468111
BaseRepresentation
bin11111101100111101…
…111100101010010100
310020212100002011212220
4133230331330222110
51024203322331200
623345444342340
72313360623526
oct375475745224
9106770064786
1034040433300
1113488a34405
1267200a49b0
1332964a2633
14190ccc5a16
15d436d94a0
hex7ecf7ca94

34040433300 has 36 divisors (see below), whose sum is σ = 98490321216. Its totient is φ = 9077448800.

The previous prime is 34040433299. The next prime is 34040433313. The reversal of 34040433300 is 333404043.

It is a super-3 number, since 3×340404333003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56733756 + ... + 56734355.

It is an arithmetic number, because the mean of its divisors is an integer number (2735842256).

Almost surely, 234040433300 is an apocalyptic number.

34040433300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34040433300 is an abundant number, since it is smaller than the sum of its proper divisors (64449887916).

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

34040433300 is a wasteful number, since it uses less digits than its factorization.

34040433300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113468128 (or 113468121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34040433300 its reverse (333404043), we get a palindrome (34373837343).

The spelling of 34040433300 in words is "thirty-four billion, forty million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 113468111 226936222 340404333 453872444 567340555 680808666 1134681110 1361617332 1702021665 2269362220 2836702775 3404043330 5673405550 6808086660 8510108325 11346811100 17020216650 34040433300