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12434320 = 245473307
BaseRepresentation
bin101111011011…
…101110010000
3212101201200101
4233123232100
511140344240
61122302144
7210455443
oct57335620
925351611
1012434320
1170230a8
1241b7954
1327648b2
14191965a
15115939a
hexbdbb90

12434320 has 40 divisors (see below), whose sum is σ = 29533824. Its totient is φ = 4866432.

The previous prime is 12434311. The next prime is 12434347. The reversal of 12434320 is 2343421.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×124343202 = 309224627724800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2107 + ... + 5413.

Almost surely, 212434320 is an apocalyptic number.

12434320 is a gapful number since it is divisible by the number (10) 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 12434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766912).

12434320 is an abundant number, since it is smaller than the sum of its proper divisors (17099504).

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

12434320 is a wasteful number, since it uses less digits than its factorization.

12434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 12434320 is about 3526.2331176483. The cubic root of 12434320 is about 231.6722482539.

Adding to 12434320 its reverse (2343421), we get a palindrome (14777741).

It can be divided in two parts, 1 and 2434320, that added together give a triangular number (2434321 = T2206).

The spelling of 12434320 in words is "twelve million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3307 3760 6614 13228 16535 26456 33070 52912 66140 132280 155429 264560 310858 621716 777145 1243432 1554290 2486864 3108580 6217160 12434320