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3430912240 = 24576126629
BaseRepresentation
bin1100110001111111…
…1001000011110000
322212002212101210201
43030133321003300
524011303142430
61324240204544
7151010162410
oct31437710360
98762771721
103430912240
11150072a168
127b9009754
13428a5a0b2
14247936640
151513118ca
hexcc7f90f0

3430912240 has 40 divisors (see below), whose sum is σ = 9116425440. Its totient is φ = 1176312576.

The previous prime is 3430912217. The next prime is 3430912249. The reversal of 3430912240 is 422190343.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3430912199 and 3430912208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430912249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3062755 + ... + 3063874.

It is an arithmetic number, because the mean of its divisors is an integer number (227910636).

Almost surely, 23430912240 is an apocalyptic number.

It is an amenable number.

3430912240 is an abundant number, since it is smaller than the sum of its proper divisors (5685513200).

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

3430912240 is a wasteful number, since it uses less digits than its factorization.

3430912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126649 (or 6126643 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3430912240 is about 58573.9894492427. The cubic root of 3430912240 is about 1508.2379692327.

The spelling of 3430912240 in words is "three billion, four hundred thirty million, nine hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 6126629 12253258 24506516 30633145 42886403 49013032 61266290 85772806 98026064 122532580 171545612 214432015 245065160 343091224 428864030 490130320 686182448 857728060 1715456120 3430912240