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38043104 = 25112337127
BaseRepresentation
bin1001000100011…
…1110111100000
32122120210022212
42101013313200
534214334404
63435221252
7641234561
oct221076740
978523285
1038043104
111a524390
12108a7828
137b5cc18
1450a4168
15351706e
hex2447de0

38043104 has 96 divisors (see below), whose sum is σ = 88252416. Its totient is φ = 15966720.

The previous prime is 38043079. The next prime is 38043113. The reversal of 38043104 is 40134083.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 38043104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299489 + ... + 299615.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 238043104 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 38043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44126208).

38043104 is an abundant number, since it is smaller than the sum of its proper divisors (50209312).

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

38043104 is a wasteful number, since it uses less digits than its factorization.

38043104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 38043104 is about 6167.9092081515. The cubic root of 38043104 is about 336.3246107057.

Adding to 38043104 its reverse (40134083), we get a palindrome (78177187).

The spelling of 38043104 in words is "thirty-eight million, forty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 74 88 92 127 148 176 184 253 254 296 352 368 407 506 508 592 736 814 851 1012 1016 1184 1397 1628 1702 2024 2032 2794 2921 3256 3404 4048 4064 4699 5588 5842 6512 6808 8096 9361 9398 11176 11684 13024 13616 18722 18796 22352 23368 27232 32131 37444 37592 44704 46736 51689 64262 74888 75184 93472 103378 108077 128524 149776 150368 206756 216154 257048 299552 413512 432308 514096 827024 864616 1028192 1188847 1654048 1729232 2377694 3458464 4755388 9510776 19021552 38043104