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1224304136 = 231122943613
BaseRepresentation
bin100100011111001…
…0110011000001000
310011022202002112122
41020332112120020
510001410213021
6321253030412
742224261546
oct11076263010
93138662478
101224304136
115790a6900
122a2025408
13166853a23
14b8858d96
157273bbab
hex48f96608

1224304136 has 48 divisors (see below), whose sum is σ = 2610297900. Its totient is φ = 537299840.

The previous prime is 1224304117. The next prime is 1224304153. The reversal of 1224304136 is 6314034221.

It can be written as a sum of positive squares in 2 ways, for example, as 1197575236 + 26728900 = 34606^2 + 5170^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6266 + ... + 49878.

Almost surely, 21224304136 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 1224304136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305148950).

1224304136 is an abundant number, since it is smaller than the sum of its proper divisors (1385993764).

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

1224304136 is a wasteful number, since it uses less digits than its factorization.

1224304136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43670 (or 43655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1224304136 is about 34990.0576735735. The cubic root of 1224304136 is about 1069.7848392598.

Adding to 1224304136 its reverse (6314034221), we get a palindrome (7538338357).

The spelling of 1224304136 in words is "one billion, two hundred twenty-four million, three hundred four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 7018 14036 28072 43613 87226 174452 348904 479743 959486 1264777 1918972 2529554 3837944 5059108 5277173 10118216 10554346 13912547 21108692 27825094 42217384 55650188 111300376 153038017 306076034 612152068 1224304136