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3742128384 = 28341118843
BaseRepresentation
bin1101111100001100…
…0101100100000000
3100122210110211002120
43133003011210000
530130441102014
61415154444240
7161506365201
oct33703054400
910583424076
103742128384
111650374495
12885293680
13478384167
14276dc95a8
1516d7d8ba9
hexdf0c5900

3742128384 has 72 divisors (see below), whose sum is σ = 10202519712. Its totient is φ = 1216942080.

The previous prime is 3742128373. The next prime is 3742128407. The reversal of 3742128384 is 4838212473.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 27934 + ... + 90909.

Almost surely, 23742128384 is an apocalyptic number.

It is an amenable number.

3742128384 is an abundant number, since it is smaller than the sum of its proper divisors (6460391328).

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

3742128384 is a wasteful number, since it uses less digits than its factorization.

3742128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118903 (or 118889 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 3742128384 is about 61172.9383306050. The cubic root of 3742128384 is about 1552.5284274215.

The spelling of 3742128384 in words is "three billion, seven hundred forty-two million, one hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 118843 237686 356529 475372 713058 950744 1426116 1901488 2852232 3802976 4872563 5704464 7605952 9745126 11408928 14617689 15211904 19490252 22817856 29235378 30423808 38980504 45635712 58470756 77961008 91271424 116941512 155922016 233883024 311844032 467766048 623688064 935532096 1247376128 1871064192 3742128384