Search a number
-
+
1344555344 = 2411231931721
BaseRepresentation
bin101000000100100…
…0100100101010000
310110201000111012002
41100021010211100
510223201232334
6341230253132
745214350266
oct12011044520
93421014162
101344555344
1162aa6a370
123163571a8
131857380a2
14ca7dc436
157d091b7e
hex50244950

1344555344 has 80 divisors (see below), whose sum is σ = 2982559104. Its totient is φ = 581222400.

The previous prime is 1344555299. The next prime is 1344555361. The reversal of 1344555344 is 4435554431.

It is a junction number, because it is equal to n+sod(n) for n = 1344555298 and 1344555307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780404 + ... + 782124.

Almost surely, 21344555344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344555344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491279552).

1344555344 is an abundant number, since it is smaller than the sum of its proper divisors (1638003760).

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

1344555344 is a wasteful number, since it uses less digits than its factorization.

1344555344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1950 counting only the distinct ones).

The product of its digits is 288000, while the sum is 38.

The square root of 1344555344 is about 36668.1789021489. The cubic root of 1344555344 is about 1103.7216488269.

The spelling of 1344555344 in words is "one billion, three hundred forty-four million, five hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 193 253 368 386 506 772 1012 1544 1721 2024 2123 3088 3442 4048 4246 4439 6884 8492 8878 13768 16984 17756 18931 27536 33968 35512 37862 39583 48829 71024 75724 79166 97658 151448 158332 195316 302896 316664 332153 390632 435413 633328 664306 781264 870826 1328612 1741652 2657224 3483304 3653683 5314448 6966608 7307366 7639519 14614732 15279038 29229464 30558076 58458928 61116152 84034709 122232304 168069418 336138836 672277672 1344555344