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38344348 = 22741127263
BaseRepresentation
bin1001001001000…
…1011010011100
32200011002120001
42102101122130
534304004343
63445504044
7643631050
oct222213234
980132501
1038344348
111a70a749
1210a12024
137c37083
145141c60
15357644d
hex249169c

38344348 has 48 divisors (see below), whose sum is σ = 79478784. Its totient is φ = 15845760.

The previous prime is 38344297. The next prime is 38344349. The reversal of 38344348 is 84344383.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38344349) 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 15 ways as a sum of consecutive naturals, for example, 145665 + ... + 145927.

It is an arithmetic number, because the mean of its divisors is an integer number (1655808).

Almost surely, 238344348 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 38344348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39739392).

38344348 is an abundant number, since it is smaller than the sum of its proper divisors (41134436).

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

38344348 is a wasteful number, since it uses less digits than its factorization.

38344348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The square root of 38344348 is about 6192.2813243586. The cubic root of 38344348 is about 337.2100056742.

The spelling of 38344348 in words is "thirty-eight million, three hundred forty-four thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 41 82 127 164 254 263 287 508 526 574 889 1052 1148 1778 1841 3556 3682 5207 7364 10414 10783 20828 21566 33401 36449 43132 66802 72898 75481 133604 145796 150962 233807 301924 467614 935228 1369441 2738882 5477764 9586087 19172174 38344348