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1144440340 = 2251729373137
BaseRepresentation
bin100010000110110…
…1100011000010100
32221202110121000021
41010031230120110
54320434042330
6305321154524
740234403521
oct10415543024
92852417007
101144440340
11538008a6a
1227b32ba44
13153140644
14abdca148
156a71367a
hex4436c614

1144440340 has 96 divisors (see below), whose sum is σ = 2704453920. Its totient is φ = 404619264.

The previous prime is 1144440331. The next prime is 1144440343. The reversal of 1144440340 is 430444411.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 99082116 + 1045358224 = 9954^2 + 32332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144440343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363252 + ... + 366388.

It is an arithmetic number, because the mean of its divisors is an integer number (28171395).

Almost surely, 21144440340 is an apocalyptic number.

1144440340 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 1144440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352226960).

1144440340 is an abundant number, since it is smaller than the sum of its proper divisors (1560013580).

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

1144440340 is a wasteful number, since it uses less digits than its factorization.

1144440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1144440340 is about 33829.5778868138. The cubic root of 1144440340 is about 1045.9984779166.

Adding to 1144440340 its reverse (430444411), we get a palindrome (1574884751).

The spelling of 1144440340 in words is "one billion, one hundred forty-four million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 37 58 68 74 85 116 145 148 170 185 290 340 370 493 580 629 740 986 1073 1258 1972 2146 2465 2516 3137 3145 4292 4930 5365 6274 6290 9860 10730 12548 12580 15685 18241 21460 31370 36482 53329 62740 72964 90973 91205 106658 116069 181946 182410 213316 232138 266645 363892 364820 454865 464276 533290 580345 909730 1066580 1160690 1546541 1819460 1973173 2321380 3093082 3366001 3946346 6186164 6732002 7732705 7892692 9865865 13464004 15465410 16830005 19731730 30930820 33660010 39463460 57222017 67320020 114444034 228888068 286110085 572220170 1144440340