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1234434144 = 25315238443
BaseRepresentation
bin100100110010011…
…1111100001100000
310012000210202022010
41021210333201200
510012003343034
6322254112520
742406342236
oct11144774140
93160722263
101234434144
11583895709
122a54ab740
1316898c808
14b9d34956
157358d3e9
hex4993f860

1234434144 has 48 divisors (see below), whose sum is σ = 3242901312. Its totient is φ = 411159168.

The previous prime is 1234434143. The next prime is 1234434151. The reversal of 1234434144 is 4414344321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234434143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141987 + ... + 150429.

It is an arithmetic number, because the mean of its divisors is an integer number (67560444).

Almost surely, 21234434144 is an apocalyptic number.

It is an amenable number.

1234434144 is an abundant number, since it is smaller than the sum of its proper divisors (2008467168).

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

1234434144 is a wasteful number, since it uses less digits than its factorization.

1234434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9971 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 1234434144 is about 35134.5149959410. The cubic root of 1234434144 is about 1072.7272391389.

Adding to 1234434144 its reverse (4414344321), we get a palindrome (5648778465).

The spelling of 1234434144 in words is "one billion, two hundred thirty-four million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1523 3046 4569 6092 8443 9138 12184 16886 18276 24368 25329 33772 36552 48736 50658 67544 73104 101316 135088 146208 202632 270176 405264 810528 12858689 25717378 38576067 51434756 77152134 102869512 154304268 205739024 308608536 411478048 617217072 1234434144