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12304454400 = 283252730517
BaseRepresentation
bin10110111010110011…
…10001001100000000
31011202112000001021100
423131121301030000
5200144420020100
65352543054400
7613626064620
oct133531611400
934675001240
1012304454400
1152445a8787
1224748a1400
131211261c64
1484a230880
154c035e400
hex2dd671300

12304454400 has 324 divisors, whose sum is σ = 50277306352. Its totient is φ = 2812354560.

The previous prime is 12304454389. The next prime is 12304454431. The reversal of 12304454400 is 445440321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387942 + ... + 418458.

Almost surely, 212304454400 is an apocalyptic number.

12304454400 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 12304454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25138653176).

12304454400 is an abundant number, since it is smaller than the sum of its proper divisors (37972851952).

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

12304454400 is a wasteful number, since it uses less digits than its factorization.

12304454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30556 (or 30534 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12304454400 its reverse (445440321), we get a palindrome (12749894721).

The spelling of 12304454400 in words is "twelve billion, three hundred four million, four hundred fifty-four thousand, four hundred".