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34240444340 = 2253175400701
BaseRepresentation
bin11111111000111000…
…111011011110110100
310021101021102210110012
4133320320323132310
51030111023204330
623421351315352
72321336655224
oct377070733664
9107337383405
1034240444340
1113580924693
12677707bb58
1332c8a6196b
14192b6ac084
15d56046c95
hex7f8e3b7b4

34240444340 has 24 divisors (see below), whose sum is σ = 72131775912. Its totient is φ = 13652969600.

The previous prime is 34240444327. The next prime is 34240444351. The reversal of 34240444340 is 4344404243.

It can be written as a sum of positive squares in 4 ways, for example, as 1622639524 + 32617804816 = 40282^2 + 180604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34240444297 and 34240444306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2694011 + ... + 2706690.

It is an arithmetic number, because the mean of its divisors is an integer number (3005490663).

Almost surely, 234240444340 is an apocalyptic number.

It is an amenable number.

34240444340 is an abundant number, since it is smaller than the sum of its proper divisors (37891331572).

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

34240444340 is a wasteful number, since it uses less digits than its factorization.

34240444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401027 (or 5401025 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 34240444340 its reverse (4344404243), we get a palindrome (38584848583).

The spelling of 34240444340 in words is "thirty-four billion, two hundred forty million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 5400701 10801402 21602804 27003505 54007010 108014020 1712022217 3424044434 6848088868 8560111085 17120222170 34240444340