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388998144 = 2103242209
BaseRepresentation
bin10111001011111…
…010010000000000
31000002222011010200
4113023322100000
51244040420034
6102333325200
712432300243
oct2713722000
91002864120
10388998144
1118a641077
12aa336800
136278ba22
143993d25a
152423da99
hex172fa400

388998144 has 66 divisors (see below), whose sum is σ = 1123250310. Its totient is φ = 129662976.

The previous prime is 388998121. The next prime is 388998157. The reversal of 388998144 is 441899883.

It can be written as a sum of positive squares in only one way, i.e., 368640000 + 20358144 = 19200^2 + 4512^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11889 + ... + 30320.

Almost surely, 2388998144 is an apocalyptic number.

It is an amenable number.

388998144 is an abundant number, since it is smaller than the sum of its proper divisors (734252166).

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

388998144 is a wasteful number, since it uses less digits than its factorization.

388998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42235 (or 42214 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 388998144 is about 19723.0358717922. The cubic root of 388998144 is about 729.9882052263.

The spelling of 388998144 in words is "three hundred eighty-eight million, nine hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 42209 84418 126627 168836 253254 337672 379881 506508 675344 759762 1013016 1350688 1519524 2026032 2701376 3039048 4052064 5402752 6078096 8104128 10805504 12156192 16208256 21611008 24312384 32416512 43222016 48624768 64833024 97249536 129666048 194499072 388998144