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1140344388 = 2232733971093
BaseRepresentation
bin100001111111000…
…0100011001000100
32221110202111102100
41003332010121010
54313412010023
6305053312100
740154524131
oct10376043104
92843674370
101140344388
11535770687
12279a95630
131523381c1
14ab641588
156a1a4c43
hex43f84644

1140344388 has 72 divisors (see below), whose sum is σ = 2932064408. Its totient is φ = 373621248.

The previous prime is 1140344371. The next prime is 1140344407. The reversal of 1140344388 is 8834430411.

It can be written as a sum of positive squares in 4 ways, for example, as 638673984 + 501670404 = 25272^2 + 22398^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1042770 + ... + 1043862.

Almost surely, 21140344388 is an apocalyptic number.

1140344388 is a gapful number since it is divisible by the number (18) 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 1140344388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466032204).

1140344388 is an abundant number, since it is smaller than the sum of its proper divisors (1791720020).

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

1140344388 is a wasteful number, since it uses less digits than its factorization.

1140344388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1140344388 is about 33768.9855932926. The cubic root of 1140344388 is about 1044.7491100420.

Adding to 1140344388 its reverse (8834430411), we get a palindrome (9974774799).

The spelling of 1140344388 in words is "one billion, one hundred forty million, three hundred forty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 397 438 657 794 876 1093 1191 1314 1588 2186 2382 2628 3279 3573 4372 4764 6558 7146 9837 13116 14292 19674 28981 39348 57962 79789 86943 115924 159578 173886 239367 260829 319156 347772 433921 478734 521658 718101 867842 957468 1043316 1301763 1436202 1735684 2603526 2872404 3905289 5207052 7810578 15621156 31676233 63352466 95028699 126704932 190057398 285086097 380114796 570172194 1140344388