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3432085056 = 263224412
BaseRepresentation
bin1100110010010001…
…0111011001000000
322212012001222121100
43030210113121000
524012103210211
61324321254400
7151023145611
oct31444273100
98765058540
103432085056
111501360334
127b9494400
1342907ab7a
14247b5dc08
15151494156
hexcc917640

3432085056 has 63 divisors (see below), whose sum is σ = 9841483873. Its totient is φ = 1143559680.

The previous prime is 3432085043. The next prime is 3432085067. The reversal of 3432085056 is 6505802343.

It is a happy number.

The square root of 3432085056 is 58584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 331822656 + 3100262400 = 18216^2 + 55680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3432085056.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1404796 + ... + 1407236.

Almost surely, 23432085056 is an apocalyptic number.

3432085056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3432085056 is the 58584-th square number.

It is an amenable number.

3432085056 is an abundant number, since it is smaller than the sum of its proper divisors (6409398817).

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

3432085056 is an frugal number, since it uses more digits than its factorization.

3432085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 3432085056 is about 1508.4098073114.

Multiplying 3432085056 by its sum of digits (36), we get a square (123555062016 = 3515042).

3432085056 divided by its sum of digits (36) gives a square (95335696 = 97642).

Adding to 3432085056 its reverse (6505802343), we get a palindrome (9937887399).

The spelling of 3432085056 in words is "three billion, four hundred thirty-two million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2441 4882 7323 9764 14646 19528 21969 29292 39056 43938 58584 78112 87876 117168 156224 175752 234336 351504 468672 703008 1406016 5958481 11916962 17875443 23833924 35750886 47667848 53626329 71501772 95335696 107252658 143003544 190671392 214505316 286007088 381342784 429010632 572014176 858021264 1144028352 1716042528 3432085056