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38383344 = 24321914029
BaseRepresentation
bin1001001001101…
…0111011110000
32200020002001100
42102122323300
534311231334
63450404400
7644152536
oct222327360
980202040
1038383344
111a736a7a
1210a30700
137c4ba4c
145152156
153582c99
hex249aef0

38383344 has 60 divisors (see below), whose sum is σ = 113081800. Its totient is φ = 12120192.

The previous prime is 38383313. The next prime is 38383351. The reversal of 38383344 is 44338383.

38383344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 38383299 and 38383308.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 4279 + ... + 9750.

Almost surely, 238383344 is an apocalyptic number.

It is an amenable number.

38383344 is an abundant number, since it is smaller than the sum of its proper divisors (74698456).

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

38383344 is a wasteful number, since it uses less digits than its factorization.

38383344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14062 (or 14053 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 38383344 is about 6195.4292829472. The cubic root of 38383344 is about 337.3242805440.

The spelling of 38383344 in words is "thirty-eight million, three hundred eighty-three thousand, three hundred forty-four".

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 14029 28058 42087 56116 84174 112232 126261 168348 224464 252522 266551 336696 505044 533102 673392 799653 1010088 1066204 1599306 2020176 2132408 2398959 3198612 4264816 4797918 6397224 9595836 12794448 19191672 38383344