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38034192 = 24372103157
BaseRepresentation
bin1001000100010…
…1101100010000
32122120100002210
42101011230100
534214043232
63435112120
7641166600
oct221055420
978510083
1038034192
111a518719
12108a2640
137b58b51
1450a0c00
1535145cc
hex2445b10

38034192 has 120 divisors (see below), whose sum is σ = 116141376. Its totient is φ = 10692864.

The previous prime is 38034163. The next prime is 38034197. The reversal of 38034192 is 29143083.

It is a super-2 number, since 2×380341922 = 2893199522185728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38034197) 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, 242178 + ... + 242334.

Almost surely, 238034192 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 38034192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58070688).

38034192 is an abundant number, since it is smaller than the sum of its proper divisors (78107184).

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

38034192 is a wasteful number, since it uses less digits than its factorization.

38034192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38034192 is about 6167.1867168102. The cubic root of 38034192 is about 336.2983461208.

It can be divided in two parts, 38034 and 192, that added together give a triangular number (38226 = T276).

The spelling of 38034192 in words is "thirty-eight million, thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 103 112 147 157 168 196 206 294 309 314 336 392 412 471 588 618 628 721 784 824 942 1099 1176 1236 1256 1442 1648 1884 2163 2198 2352 2472 2512 2884 3297 3768 4326 4396 4944 5047 5768 6594 7536 7693 8652 8792 10094 11536 13188 15141 15386 16171 17304 17584 20188 23079 26376 30282 30772 32342 34608 40376 46158 48513 52752 60564 61544 64684 80752 92316 97026 113197 121128 123088 129368 184632 194052 226394 242256 258736 339591 369264 388104 452788 679182 776208 792379 905576 1358364 1584758 1811152 2377137 2716728 3169516 4754274 5433456 6339032 9508548 12678064 19017096 38034192