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38334096 = 24321914011
BaseRepresentation
bin1001001000111…
…0111010010000
32200010120111100
42102032322100
534303142341
63445344400
7643556133
oct222167220
980116440
1038334096
111a702a79
1210a08100
137c324c8
14513c21a
1535733b6
hex248ee90

38334096 has 60 divisors (see below), whose sum is σ = 112936720. Its totient is φ = 12104640.

The previous prime is 38334089. The next prime is 38334151. The reversal of 38334096 is 69043383.

It is a super-2 number, since 2×383340962 = 2939005832274432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38334096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4270 + ... + 9741.

Almost surely, 238334096 is an apocalyptic number.

38334096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38334096 is an abundant number, since it is smaller than the sum of its proper divisors (74602624).

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

38334096 is a wasteful number, since it uses less digits than its factorization.

38334096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044 (or 14035 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 38334096 is about 6191.4534642522. The cubic root of 38334096 is about 337.1799500918.

The spelling of 38334096 in words is "thirty-eight million, three hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 14011 28022 42033 56044 84066 112088 126099 168132 224176 252198 266209 336264 504396 532418 672528 798627 1008792 1064836 1597254 2017584 2129672 2395881 3194508 4259344 4791762 6389016 9583524 12778032 19167048 38334096