Search a number
-
+
38406366 = 23317223107
BaseRepresentation
bin1001001010000…
…0100011011110
32200021020122000
42102200203132
534313000431
63451103130
7644306625
oct222404336
980236560
1038406366
111a7522a9
1210a41aa6
137c5937b
14515a6bc
1535899e6
hex24a08de

38406366 has 96 divisors (see below), whose sum is σ = 95489280. Its totient is φ = 11417472.

The previous prime is 38406317. The next prime is 38406373. The reversal of 38406366 is 66360483.

It is a self number, because there is not a number n which added to its sum of digits gives 38406366.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 358885 + ... + 358991.

It is an arithmetic number, because the mean of its divisors is an integer number (994680).

Almost surely, 238406366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38406366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744640).

38406366 is an abundant number, since it is smaller than the sum of its proper divisors (57082914).

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

38406366 is a wasteful number, since it uses less digits than its factorization.

38406366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 38406366 is about 6197.2869870614. The cubic root of 38406366 is about 337.3917084668.

The spelling of 38406366 in words is "thirty-eight million, four hundred six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 107 138 153 207 214 289 306 321 391 414 459 578 621 642 782 867 918 963 1173 1242 1734 1819 1926 2346 2461 2601 2889 3519 3638 4922 5202 5457 5778 6647 7038 7383 7803 10557 10914 13294 14766 15606 16371 19941 21114 22149 30923 32742 39882 41837 44298 49113 59823 61846 66447 83674 92769 98226 119646 125511 132894 179469 185538 251022 278307 358938 376533 556614 711229 753066 834921 1129599 1422458 1669842 2133687 2259198 4267374 6401061 12802122 19203183 38406366