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38086344 = 233223109211
BaseRepresentation
bin1001000101001…
…0011011001000
32122122222122100
42101102123020
534222230334
63440153400
7641504622
oct221223310
978588570
1038086344
111a55391a
1210908860
137b767ca
1450b5c12
153524c99
hex24526c8

38086344 has 96 divisors (see below), whose sum is σ = 109137600. Its totient is φ = 11975040.

The previous prime is 38086343. The next prime is 38086361. The reversal of 38086344 is 44368083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38086299 and 38086308.

It is not an unprimeable number, because it can be changed into a prime (38086343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180399 + ... + 180609.

It is an arithmetic number, because the mean of its divisors is an integer number (1136850).

Almost surely, 238086344 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 38086344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54568800).

38086344 is an abundant number, since it is smaller than the sum of its proper divisors (71051256).

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

38086344 is a wasteful number, since it uses less digits than its factorization.

38086344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38086344 is about 6171.4134523624. The cubic root of 38086344 is about 336.4519852568.

The spelling of 38086344 in words is "thirty-eight million, eighty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 109 138 184 207 211 218 276 327 414 422 436 552 633 654 828 844 872 981 1266 1308 1656 1688 1899 1962 2507 2532 2616 3798 3924 4853 5014 5064 7521 7596 7848 9706 10028 14559 15042 15192 19412 20056 22563 22999 29118 30084 38824 43677 45126 45998 58236 60168 68997 87354 90252 91996 116472 137994 174708 180504 183992 206991 275988 349416 413982 528977 551976 827964 1057954 1586931 1655928 2115908 3173862 4231816 4760793 6347724 9521586 12695448 19043172 38086344