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3930378784 = 251710767523
BaseRepresentation
bin1110101001000100…
…1101001000100000
3101010220200221002121
43222101031020200
531022134110114
61450001354024
7166253445163
oct35221151040
911126627077
103930378784
111737661832
12918338914
134a8386427
14293dcdada
151800c1a24
hexea44d220

3930378784 has 48 divisors (see below), whose sum is σ = 8269799328. Its totient is φ = 1832276992.

The previous prime is 3930378773. The next prime is 3930378799. The reversal of 3930378784 is 4878730393.

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, 24447 + ... + 91969.

It is an arithmetic number, because the mean of its divisors is an integer number (172287486).

Almost surely, 23930378784 is an apocalyptic number.

3930378784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134899664).

3930378784 is an abundant number, since it is smaller than the sum of its proper divisors (4339420544).

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

3930378784 is a wasteful number, since it uses less digits than its factorization.

3930378784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67657 (or 67649 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The square root of 3930378784 is about 62692.7331036062. The cubic root of 3930378784 is about 1578.1373638630.

The spelling of 3930378784 in words is "three billion, nine hundred thirty million, three hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 107 136 214 272 428 544 856 1712 1819 3424 3638 7276 14552 29104 58208 67523 135046 270092 540184 1080368 1147891 2160736 2295782 4591564 7224961 9183128 14449922 18366256 28899844 36732512 57799688 115599376 122824337 231198752 245648674 491297348 982594696 1965189392 3930378784