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3432413440 = 2852681573
BaseRepresentation
bin1100110010010110…
…0111100100000000
322212012200200001201
43030211213210000
524012144212230
61324332310544
7151026014161
oct31445474400
98765620051
103432413440
111501565025
127b9612454
13429164491
14247c07768
1515150b5ca
hexcc967900

3432413440 has 36 divisors (see below), whose sum is σ = 8221705884. Its totient is φ = 1372964864.

The previous prime is 3432413437. The next prime is 3432413443. The reversal of 3432413440 is 443142343.

It is an interprime number because it is at equal distance from previous prime (3432413437) and next prime (3432413443).

It can be written as a sum of positive squares in 2 ways, for example, as 2530492416 + 901921024 = 50304^2 + 30032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3432413399 and 3432413408.

It is not an unprimeable number, because it can be changed into a prime (3432413443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1339507 + ... + 1342066.

It is an arithmetic number, because the mean of its divisors is an integer number (228380719).

Almost surely, 23432413440 is an apocalyptic number.

It is an amenable number.

3432413440 is an abundant number, since it is smaller than the sum of its proper divisors (4789292444).

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

3432413440 is an equidigital number, since it uses as much as digits as its factorization.

3432413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681594 (or 2681580 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3432413440 is about 58586.8026094615. The cubic root of 3432413440 is about 1508.4579143018.

Adding to 3432413440 its reverse (443142343), we get a palindrome (3875555783).

The spelling of 3432413440 in words is "three billion, four hundred thirty-two million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2681573 5363146 10726292 13407865 21452584 26815730 42905168 53631460 85810336 107262920 171620672 214525840 343241344 429051680 686482688 858103360 1716206720 3432413440