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3054400128 = 273213203953
BaseRepresentation
bin1011011000001110…
…0111001010000000
321212212101121021200
42312003213022000
522223411301003
61223030221200
7135455654433
oct26603471200
97785347250
103054400128
11132814702a
12712ab4800
13398a50670
1420d92781a
1512d23c6a3
hexb60e7280

3054400128 has 96 divisors (see below), whose sum is σ = 9465505140. Its totient is φ = 939810816.

The previous prime is 3054400121. The next prime is 3054400133. The reversal of 3054400128 is 8210044503.

It can be written as a sum of positive squares in 2 ways, for example, as 3039096384 + 15303744 = 55128^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3054400121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 87001 + ... + 116952.

Almost surely, 23054400128 is an apocalyptic number.

It is an amenable number.

3054400128 is an abundant number, since it is smaller than the sum of its proper divisors (6411105012).

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

3054400128 is a wasteful number, since it uses less digits than its factorization.

3054400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203986 (or 203971 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3054400128 is about 55266.6276155873. The cubic root of 3054400128 is about 1450.9150194452.

The spelling of 3054400128 in words is "three billion, fifty-four million, four hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 203953 407906 611859 815812 1223718 1631624 1835577 2447436 2651389 3263248 3671154 4894872 5302778 6526496 7342308 7954167 9789744 10605556 13052992 14684616 15908334 19579488 21211112 23862501 26105984 29369232 31816668 39158976 42422224 47725002 58738464 63633336 78317952 84844448 95450004 117476928 127266672 169688896 190900008 234953856 254533344 339377792 381800016 509066688 763600032 1018133376 1527200064 3054400128