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3439303040 = 27541131071
BaseRepresentation
bin1100110011111111…
…1001100110000000
322212200122200211002
43030333321212000
524020430144130
61325140111132
7151141410365
oct31477714600
98780580732
103439303040
111505440308
127bb9954a8
1342a707374
14248abc46c
15151e1cb45
hexccff9980

3439303040 has 64 divisors (see below), whose sum is σ = 8422686720. Its totient is φ = 1342156800.

The previous prime is 3439303019. The next prime is 3439303057. The reversal of 3439303040 is 403039343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3439302994 and 3439303012.

It is a congruent number.

It is an unprimeable number.

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, 39296 + ... + 91775.

It is an arithmetic number, because the mean of its divisors is an integer number (131604480).

Almost surely, 23439303040 is an apocalyptic number.

It is an amenable number.

3439303040 is an abundant number, since it is smaller than the sum of its proper divisors (4983383680).

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

3439303040 is a wasteful number, since it uses less digits than its factorization.

3439303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131131 (or 131119 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 3439303040 is about 58645.5713587991. The cubic root of 3439303040 is about 1509.4665074410.

The spelling of 3439303040 in words is "three billion, four hundred thirty-nine million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 13120 26240 131071 262142 524284 655355 1048568 1310710 2097136 2621420 4194272 5242840 5373911 8388544 10485680 10747822 16777088 20971360 21495644 26869555 41942720 42991288 53739110 83885440 85982576 107478220 171965152 214956440 343930304 429912880 687860608 859825760 1719651520 3439303040