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38081934 = 23311611051
BaseRepresentation
bin1001000101000…
…1010110001110
32122122202121000
42101101112032
534222110214
63440121130
7641456022
oct221212616
978582530
1038081934
111a550580
12109061a6
137b747b7
1450b4382
153523809
hex245158e

38081934 has 64 divisors (see below), whose sum is σ = 93922560. Its totient is φ = 11340000.

The previous prime is 38081903. The next prime is 38081941. The reversal of 38081934 is 43918083.

38081934 is nontrivially palindromic in base 13.

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, 35709 + ... + 36759.

It is an arithmetic number, because the mean of its divisors is an integer number (1467540).

Almost surely, 238081934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38081934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46961280).

38081934 is an abundant number, since it is smaller than the sum of its proper divisors (55840626).

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

38081934 is a wasteful number, since it uses less digits than its factorization.

38081934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38081934 is about 6171.0561494772. The cubic root of 38081934 is about 336.4389988828.

The spelling of 38081934 in words is "thirty-eight million, eighty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 366 549 594 671 1051 1098 1342 1647 2013 2102 3153 3294 4026 6039 6306 9459 11561 12078 18117 18918 23122 28377 34683 36234 56754 64111 69366 104049 128222 192333 208098 312147 384666 576999 624294 705221 1153998 1410442 1730997 2115663 3461994 4231326 6346989 12693978 19040967 38081934