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1234444104 = 233325122769
BaseRepresentation
bin100100110010100…
…0001111101001000
310012000211020222000
41021211001331020
510012004202404
6322254231000
742406413255
oct11145017510
93160736860
101234444104
115838a2143
122a54b5460
131689941ca
14b9d3842c
1573591339
hex49941f48

1234444104 has 64 divisors (see below), whose sum is σ = 3442824000. Its totient is φ = 409824000.

The previous prime is 1234444093. The next prime is 1234444111. The reversal of 1234444104 is 4014444321.

It is a super-3 number, since 3×12344441043 (a number of 28 digits) contains 333 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 42832 + ... + 65600.

It is an arithmetic number, because the mean of its divisors is an integer number (53794125).

Almost surely, 21234444104 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 1234444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721412000).

1234444104 is an abundant number, since it is smaller than the sum of its proper divisors (2208379896).

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

1234444104 is a wasteful number, since it uses less digits than its factorization.

1234444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23035 (or 23025 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1234444104 is about 35134.6567366183. The cubic root of 1234444104 is about 1072.7301242218.

Adding to 1234444104 its reverse (4014444321), we get a palindrome (5248888425).

The spelling of 1234444104 in words is "one billion, two hundred thirty-four million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 251 502 753 1004 1506 2008 2259 3012 4518 6024 6777 9036 13554 18072 22769 27108 45538 54216 68307 91076 136614 182152 204921 273228 409842 546456 614763 819684 1229526 1639368 2459052 4918104 5715019 11430038 17145057 22860076 34290114 45720152 51435171 68580228 102870342 137160456 154305513 205740684 308611026 411481368 617222052 1234444104