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38412414 = 23319291291
BaseRepresentation
bin1001001010001…
…0000001111110
32200021112221000
42102202001332
534313144124
63451151130
7644333355
oct222420176
980245830
1038412414
111a7568a7
1210a454a6
137c5c051
14515c99c
15358b6c9
hex24a207e

38412414 has 64 divisors (see below), whose sum is σ = 93024000. Its totient is φ = 11702880.

The previous prime is 38412389. The next prime is 38412427. The reversal of 38412414 is 41421483.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 29109 + ... + 30399.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 238412414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38412414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512000).

38412414 is an abundant number, since it is smaller than the sum of its proper divisors (54611586).

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

38412414 is a wasteful number, since it uses less digits than its factorization.

38412414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 38412414 is about 6197.7749233092. The cubic root of 38412414 is about 337.4094176659.

Adding to 38412414 its reverse (41421483), we get a palindrome (79833897).

The spelling of 38412414 in words is "thirty-eight million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 114 171 174 261 342 513 522 551 783 1026 1102 1291 1566 1653 2582 3306 3873 4959 7746 9918 11619 14877 23238 24529 29754 34857 37439 49058 69714 73587 74878 112317 147174 220761 224634 336951 441522 662283 673902 711341 1010853 1324566 1422682 2021706 2134023 4268046 6402069 12804138 19206207 38412414