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1144343340 = 2232579532
BaseRepresentation
bin100010000110101…
…0100101100101100
32221202021122221200
41010031110230230
54320422441330
6305315125500
740233520650
oct10415245454
92852248850
101144343340
11537a520a8
1227b2a3890
1315310844a
14abda2a60
156a6e4a60
hex44354b2c

1144343340 has 108 divisors (see below), whose sum is σ = 3971223984. Its totient is φ = 261289728.

The previous prime is 1144343339. The next prime is 1144343341. The reversal of 1144343340 is 433434411.

It is an interprime number because it is at equal distance from previous prime (1144343339) and next prime (1144343341).

It is not an unprimeable number, because it can be changed into a prime (1144343341) 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 35 ways as a sum of consecutive naturals, for example, 1200304 + ... + 1201256.

Almost surely, 21144343340 is an apocalyptic number.

1144343340 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 1144343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985611992).

1144343340 is an abundant number, since it is smaller than the sum of its proper divisors (2826880644).

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

1144343340 is an equidigital number, since it uses as much as digits as its factorization.

1144343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1144343340 is about 33828.1441997636. The cubic root of 1144343340 is about 1045.9689249799.

Adding to 1144343340 its reverse (433434411), we get a palindrome (1577777751).

The spelling of 1144343340 in words is "one billion, one hundred forty-four million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 953 1260 1906 2859 3812 4765 5718 6671 8577 9530 11436 13342 14295 17154 19060 20013 26684 28590 33355 34308 40026 42885 57180 60039 66710 80052 85770 100065 120078 133420 171540 200130 240156 300195 400260 600390 908209 1200780 1816418 2724627 3632836 4541045 5449254 6357463 8173881 9082090 10898508 12714926 13623135 16347762 18164180 19072389 25429852 27246270 31787315 32695524 38144778 40869405 54492540 57217167 63574630 76289556 81738810 95361945 114434334 127149260 163477620 190723890 228868668 286085835 381447780 572171670 1144343340