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10434096 = 24348397
BaseRepresentation
bin100111110011…
…011000110000
3201122002220000
4213303120300
510132342341
61011350000
7154455051
oct47633060
921562800
1010434096
115987322
1235b2300
13221432a
141558728
15db18b6
hex9f3630

10434096 has 100 divisors (see below), whose sum is σ = 30878232. Its totient is φ = 3400704.

The previous prime is 10434077. The next prime is 10434101. The reversal of 10434096 is 69043401.

10434096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107520 + ... + 107616.

Almost surely, 210434096 is an apocalyptic number.

10434096 is a gapful number since it is divisible by the number (16) 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 10434096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439116).

10434096 is an abundant number, since it is smaller than the sum of its proper divisors (20444136).

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

10434096 is an equidigital number, since it uses as much as digits as its factorization.

10434096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10434096 is about 3230.1851340132. The cubic root of 10434096 is about 218.5168557114.

Adding to 10434096 its reverse (69043401), we get a palindrome (79477497).

The spelling of 10434096 in words is "ten million, four hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 97 108 144 162 166 194 216 249 291 324 332 388 432 498 582 648 664 747 776 873 996 1164 1296 1328 1494 1552 1746 1992 2241 2328 2619 2988 3492 3984 4482 4656 5238 5976 6723 6984 7857 8051 8964 10476 11952 13446 13968 15714 16102 17928 20952 24153 26892 31428 32204 35856 41904 48306 53784 62856 64408 72459 96612 107568 125712 128816 144918 193224 217377 289836 386448 434754 579672 652131 869508 1159344 1304262 1739016 2608524 3478032 5217048 10434096