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38314304 = 26785523
BaseRepresentation
bin1001001000101…
…0000101000000
32200002120100022
42102022011000
534302024204
63445113012
7643444340
oct222120500
980076308
1038314304
111a69a116
12109b8768
137c264b2
145134d20
15356c5be
hex248a140

38314304 has 28 divisors (see below), whose sum is σ = 86892384. Its totient is φ = 16420224.

The previous prime is 38314303. The next prime is 38314313. The reversal of 38314304 is 40341383.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42314 + ... + 43209.

Almost surely, 238314304 is an apocalyptic number.

It is an amenable number.

38314304 is an abundant number, since it is smaller than the sum of its proper divisors (48578080).

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

38314304 is an equidigital number, since it uses as much as digits as its factorization.

38314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85542 (or 85532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 38314304 is about 6189.8549256021. The cubic root of 38314304 is about 337.1219111212.

Adding to 38314304 its reverse (40341383), we get a palindrome (78655687).

The spelling of 38314304 in words is "thirty-eight million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 85523 171046 342092 598661 684184 1197322 1368368 2394644 2736736 4789288 5473472 9578576 19157152 38314304