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1234440000 = 263554127
BaseRepresentation
bin100100110010100…
…0000111101000000
310012000211001100000
41021211000331000
510012004040000
6322254200000
742406365303
oct11145007500
93160731300
101234440000
1158389a052
122a54b3000
13168992391
14b9d36b3a
1573590000
hex49940f40

1234440000 has 420 divisors, whose sum is σ = 4621320704. Its totient is φ = 326592000.

The previous prime is 1234439977. The next prime is 1234440043. The reversal of 1234440000 is 444321.

It is a super-2 number, since 2×12344400002 = 3047684227200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 9719937 + ... + 9720063.

Almost surely, 21234440000 is an apocalyptic number.

1234440000 is a gapful number since it is divisible by the number (10) 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 1234440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310660352).

1234440000 is an abundant number, since it is smaller than the sum of its proper divisors (3386880704).

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

1234440000 is an frugal number, since it uses more digits than its factorization.

1234440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1234440000 is about 35134.5983326976. The cubic root of 1234440000 is about 1072.7289354305.

Adding to 1234440000 its reverse (444321), we get a palindrome (1234884321).

The spelling of 1234440000 in words is "one billion, two hundred thirty-four million, four hundred forty thousand".