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38434320 = 2432553381
BaseRepresentation
bin1001001010011…
…1011000010000
32200022122222100
42102213120100
534314344240
63451440400
7644454261
oct222473020
980278870
1038434320
111a771301
1210a56100
137c69002
145166968
153592e30
hex24a7610

38434320 has 60 divisors (see below), whose sum is σ = 129077676. Its totient is φ = 10248960.

The previous prime is 38434301. The next prime is 38434373. The reversal of 38434320 is 2343483.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 29289744 = 3024^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25971 + ... + 27410.

Almost surely, 238434320 is an apocalyptic number.

38434320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38434320 is an abundant number, since it is smaller than the sum of its proper divisors (90643356).

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

38434320 is a wasteful number, since it uses less digits than its factorization.

38434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53400 (or 53391 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 38434320 is about 6199.5419185614. The cubic root of 38434320 is about 337.4735452515.

The spelling of 38434320 in words is "thirty-eight million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 53381 106762 160143 213524 266905 320286 427048 480429 533810 640572 800715 854096 960858 1067620 1281144 1601430 1921716 2135240 2402145 2562288 3202860 3843432 4270480 4804290 6405720 7686864 9608580 12811440 19217160 38434320