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1228412304 = 24347434767
BaseRepresentation
bin100100100111000…
…0001010110010000
310011121110210220000
41021032001112100
510003433143204
6321521050000
742304221660
oct11116012620
93147423800
101228412304
11580452389
122a3486900
131676618b2
14b92081a0
1572c9e039
hex49381590

1228412304 has 400 divisors, whose sum is σ = 4309628928. Its totient is φ = 330511104.

The previous prime is 1228412303. The next prime is 1228412447. The reversal of 1228412304 is 4032148221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228412303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18334479 + ... + 18334545.

Almost surely, 21228412304 is an apocalyptic number.

1228412304 is a gapful number since it is divisible by the number (14) 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 1228412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154814464).

1228412304 is an abundant number, since it is smaller than the sum of its proper divisors (3081216624).

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

1228412304 is a wasteful number, since it uses less digits than its factorization.

1228412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1228412304 is about 35048.7133002055. The cubic root of 1228412304 is about 1070.9800622421.

The spelling of 1228412304 in words is "one billion, two hundred twenty-eight million, four hundred twelve thousand, three hundred four".