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3898368 = 2103447
BaseRepresentation
bin1110110111110000000000
321100001120000
432313300000
51444221433
6215320000
745064335
oct16676000
97301500
103898368
1122229a1
121380000
13a66536
1473698c
15520113
hex3b7c00

3898368 has 110 divisors (see below), whose sum is σ = 11888976. Its totient is φ = 1271808.

The previous prime is 3898361. The next prime is 3898369. The reversal of 3898368 is 8638983.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3898361) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82921 + ... + 82967.

Almost surely, 23898368 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 3898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944488).

3898368 is an abundant number, since it is smaller than the sum of its proper divisors (7990608).

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

3898368 is an equidigital number, since it uses as much as digits as its factorization.

3898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3898368 is about 1974.4285249155. The cubic root of 3898368 is about 157.3841324681.

The spelling of 3898368 in words is "three million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 256 282 288 324 376 384 423 432 512 564 576 648 752 768 846 864 1024 1128 1152 1269 1296 1504 1536 1692 1728 2256 2304 2538 2592 3008 3072 3384 3456 3807 4512 4608 5076 5184 6016 6768 6912 7614 9024 9216 10152 10368 12032 13536 13824 15228 18048 20304 20736 24064 27072 27648 30456 36096 40608 41472 48128 54144 60912 72192 81216 82944 108288 121824 144384 162432 216576 243648 324864 433152 487296 649728 974592 1299456 1949184 3898368