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38379348 = 22327221757
BaseRepresentation
bin1001001001100…
…1111101010100
32200012212120100
42102121331110
534311114343
63450334100
7644135100
oct222317524
980185510
1038379348
111a733a77
1210a2a330
137c49c97
145150900
1535819d3
hex2499f54

38379348 has 54 divisors (see below), whose sum is σ = 112858746. Its totient is φ = 10965024.

The previous prime is 38379347. The next prime is 38379359. The reversal of 38379348 is 84397383.

It is a happy number.

38379348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37601424 + 777924 = 6132^2 + 882^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38379347) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 9115 + ... + 12642.

Almost surely, 238379348 is an apocalyptic number.

It is an amenable number.

38379348 is an abundant number, since it is smaller than the sum of its proper divisors (74479398).

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

38379348 is a wasteful number, since it uses less digits than its factorization.

38379348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21781 (or 21769 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 38379348 is about 6195.1067787408. The cubic root of 38379348 is about 337.3125741242.

The spelling of 38379348 in words is "thirty-eight million, three hundred seventy-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 21757 43514 65271 87028 130542 152299 195813 261084 304598 391626 456897 609196 783252 913794 1066093 1370691 1827588 2132186 2741382 3198279 4264372 5482764 6396558 9594837 12793116 19189674 38379348