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9138304 = 27723147
BaseRepresentation
bin100010110111…
…000010000000
3122012021101201
4202313002000
54314411204
6523510544
7140450200
oct42670200
918167351
109138304
11518181a
123088454
131b7c5a6
1412dc400
15c079a4
hex8b7080

9138304 has 96 divisors (see below), whose sum is σ = 22325760. Its totient is φ = 3709440.

The previous prime is 9138293. The next prime is 9138323. The reversal of 9138304 is 4038319.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194409 + ... + 194455.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

Almost surely, 29138304 is an apocalyptic number.

9138304 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162880).

9138304 is an abundant number, since it is smaller than the sum of its proper divisors (13187456).

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

9138304 is a wasteful number, since it uses less digits than its factorization.

9138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 9138304 is about 3022.9627850835. The cubic root of 9138304 is about 209.0684665378.

The spelling of 9138304 in words is "nine million, one hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 47 49 56 62 64 94 98 112 124 128 188 196 217 224 248 329 376 392 434 448 496 658 752 784 868 896 992 1316 1457 1504 1519 1568 1736 1984 2303 2632 2914 3008 3038 3136 3472 3968 4606 5264 5828 6016 6076 6272 6944 9212 10199 10528 11656 12152 13888 18424 20398 21056 23312 24304 27776 36848 40796 42112 46624 48608 71393 73696 81592 93248 97216 142786 147392 163184 186496 194432 285572 294784 326368 571144 652736 1142288 1305472 2284576 4569152 9138304