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3944300128 = 253110338603
BaseRepresentation
bin1110101100011001…
…0011111001100000
3101011212220012120221
43223012103321200
531034220101003
61451220012424
7166512666166
oct35306237140
911155805527
103944300128
11174450007a
12920b31114
134ab21bb02
14295bb5236
151814217bd
hexeb193e60

3944300128 has 48 divisors (see below), whose sum is σ = 8093869056. Its totient is φ = 1889953920.

The previous prime is 3944300119. The next prime is 3944300147. The reversal of 3944300128 is 8210034493.

3944300128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3944300093 and 3944300102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82875 + ... + 121477.

It is an arithmetic number, because the mean of its divisors is an integer number (168622272).

Almost surely, 23944300128 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 3944300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046934528).

3944300128 is an abundant number, since it is smaller than the sum of its proper divisors (4149568928).

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

3944300128 is a wasteful number, since it uses less digits than its factorization.

3944300128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38747 (or 38739 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3944300128 is about 62803.6633326433. The cubic root of 3944300128 is about 1579.9984147824.

The spelling of 3944300128 in words is "three billion, nine hundred forty-four million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 103 124 206 248 412 496 824 992 1648 3193 3296 6386 12772 25544 38603 51088 77206 102176 154412 308824 617648 1196693 1235296 2393386 3976109 4786772 7952218 9573544 15904436 19147088 31808872 38294176 63617744 123259379 127235488 246518758 493037516 986075032 1972150064 3944300128