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38374146 = 2324321153
BaseRepresentation
bin1001001001100…
…0101100000010
32200012121102200
42102120230002
534310433041
63450254030
7644113656
oct222305402
980177380
1038374146
111a730078
1210a27316
137c477c5
14514ca66
1535801b6
hex2498b02

38374146 has 36 divisors (see below), whose sum is σ = 85196358. Its totient is φ = 12483072.

The previous prime is 38374121. The next prime is 38374153. The reversal of 38374146 is 64147383.

It can be written as a sum of positive squares in only one way, i.e., 27973521 + 10400625 = 5289^2 + 3225^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38374146.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32706 + ... + 33858.

Almost surely, 238374146 is an apocalyptic number.

38374146 is an abundant number, since it is smaller than the sum of its proper divisors (46822212).

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

38374146 is a wasteful number, since it uses less digits than its factorization.

38374146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1201 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 38374146 is about 6194.6869170282. The cubic root of 38374146 is about 337.2973334685.

It can be divided in two parts, 383 and 74146, that added together give a square (74529 = 2732).

The spelling of 38374146 in words is "thirty-eight million, three hundred seventy-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 1153 1849 2306 3459 3698 5547 6918 10377 11094 16641 20754 33282 49579 99158 148737 297474 446211 892422 2131897 4263794 6395691 12791382 19187073 38374146