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1234431104 = 27103109859
BaseRepresentation
bin100100110010011…
…1110110010000000
310012000210121010112
41021210332302000
510012003243404
6322254050452
742406330334
oct11144766200
93160717115
101234431104
115838933a5
122a54a9a28
1316898b30a
14b9d337c4
157358c56e
hex4993ec80

1234431104 has 64 divisors (see below), whose sum is σ = 2508792000. Its totient is φ = 604910592.

The previous prime is 1234431103. The next prime is 1234431119. The reversal of 1234431104 is 4011344321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1234431104.

It is not an unprimeable number, because it can be changed into a prime (1234431103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1436627 + ... + 1437485.

It is an arithmetic number, because the mean of its divisors is an integer number (39199875).

Almost surely, 21234431104 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 1234431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254396000).

1234431104 is an abundant number, since it is smaller than the sum of its proper divisors (1274360896).

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

1234431104 is a wasteful number, since it uses less digits than its factorization.

1234431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1234431104 is about 35134.4717336123. The cubic root of 1234431104 is about 1072.7263585482.

Adding to 1234431104 its reverse (4011344321), we get a palindrome (5245775425).

The spelling of 1234431104 in words is "one billion, two hundred thirty-four million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 103 109 128 206 218 412 436 824 859 872 1648 1718 1744 3296 3436 3488 6592 6872 6976 11227 13184 13744 13952 22454 27488 44908 54976 88477 89816 93631 109952 176954 179632 187262 353908 359264 374524 707816 718528 749048 1415632 1437056 1498096 2831264 2996192 5662528 5992384 9643993 11325056 11984768 19287986 38575972 77151944 154303888 308607776 617215552 1234431104