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3420328752 = 243230777369
BaseRepresentation
bin1100101111011110…
…0001001100110000
322211100221200222200
43023313201030300
524001101010002
61323221303200
7150521212641
oct31367411460
98740850880
103420328752
1114a5760685
127b5564b00
134267c2a89
1424637d6c8
15150420b1c
hexcbde1330

3420328752 has 60 divisors (see below), whose sum is σ = 9603473880. Its totient is φ = 1136381184.

The previous prime is 3420328739. The next prime is 3420328789. The reversal of 3420328752 is 2578230243.

3420328752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5524 + ... + 82892.

It is an arithmetic number, because the mean of its divisors is an integer number (160057898).

Almost surely, 23420328752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420328752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801736940).

3420328752 is an abundant number, since it is smaller than the sum of its proper divisors (6183145128).

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

3420328752 is a wasteful number, since it uses less digits than its factorization.

3420328752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77690 (or 77681 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3420328752 is about 58483.5767716032. The cubic root of 3420328752 is about 1506.6855288665.

Adding to 3420328752 its reverse (2578230243), we get a palindrome (5998558995).

The spelling of 3420328752 in words is "three billion, four hundred twenty million, three hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 11052 14736 22104 44208 77369 154738 232107 309476 464214 618952 696321 928428 1237904 1392642 1856856 2785284 3713712 5570568 11141136 23752283 47504566 71256849 95009132 142513698 190018264 213770547 285027396 380036528 427541094 570054792 855082188 1140109584 1710164376 3420328752