Search a number
-
+
1144344320 = 2857127717
BaseRepresentation
bin100010000110101…
…0100111100000000
32221202021201021222
41010031110330000
54320423004240
6305315134212
740233523550
oct10415247400
92852251258
101144344320
11537a52909
1227b2a4368
13153108a22
14abda3160
156a6e4eb5
hex44354f00

1144344320 has 72 divisors (see below), whose sum is σ = 3132667104. Its totient is φ = 392343552.

The previous prime is 1144344319. The next prime is 1144344329. The reversal of 1144344320 is 234434411.

It is a self number, because there is not a number n which added to its sum of digits gives 1144344320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144344329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54899 + ... + 72818.

Almost surely, 21144344320 is an apocalyptic number.

1144344320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144344320 is an abundant number, since it is smaller than the sum of its proper divisors (1988322784).

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

1144344320 is an equidigital number, since it uses as much as digits as its factorization.

1144344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127745 (or 127731 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1144344320 is about 33828.1586847407. The cubic root of 1144344320 is about 1045.9692235643.

Adding to 1144344320 its reverse (234434411), we get a palindrome (1378778731).

Subtracting from 1144344320 its reverse (234434411), we obtain a palindrome (909909909).

It can be divided in two parts, 114 and 4344320, that added together give a palindrome (4344434).

The spelling of 1144344320 in words is "one billion, one hundred forty-four million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 127717 255434 510868 638585 894019 1021736 1277170 1788038 2043472 2554340 3576076 4086944 4470095 5108680 7152152 8173888 8940190 10217360 14304304 16347776 17880380 20434720 28608608 32695552 35760760 40869440 57217216 71521520 81738880 114434432 143043040 163477760 228868864 286086080 572172160 1144344320