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38740328 = 23112311291
BaseRepresentation
bin1001001111001…
…0000101101000
32200220012201222
42103302011220
534404142303
63502201212
7650200364
oct223620550
980805658
1038740328
111a960200
1210b83208
138045393
1452062a4
153603938
hex24f2168

38740328 has 48 divisors (see below), whose sum is σ = 82481280. Its totient is φ = 17028000.

The previous prime is 38740327. The next prime is 38740379. The reversal of 38740328 is 82304783.

It is not an unprimeable number, because it can be changed into a prime (38740327) by changing a digit.

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, 29363 + ... + 30653.

It is an arithmetic number, because the mean of its divisors is an integer number (1718360).

Almost surely, 238740328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38740328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41240640).

38740328 is an abundant number, since it is smaller than the sum of its proper divisors (43740952).

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

38740328 is a wasteful number, since it uses less digits than its factorization.

38740328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 38740328 is about 6224.1728767765. The cubic root of 38740328 is about 338.3668158009.

The spelling of 38740328 in words is "thirty-eight million, seven hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1291 1364 2582 2728 3751 5164 7502 10328 14201 15004 28402 30008 40021 56804 80042 113608 156211 160084 312422 320168 440231 624844 880462 1249688 1760924 3521848 4842541 9685082 19370164 38740328