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1344503140 = 225172457509
BaseRepresentation
bin101000000100011…
…0111110101100100
310110200220211120121
41100020313311210
510223143100030
6341225211324
745214042141
oct12010676544
93420824517
101344503140
1162aa34122
12316330b44
1318571a3b6
14ca7c73c8
157d08147a
hex50237d64

1344503140 has 72 divisors (see below), whose sum is σ = 3011780520. Its totient is φ = 504066048.

The previous prime is 1344503117. The next prime is 1344503159. The reversal of 1344503140 is 413054431.

It can be written as a sum of positive squares in 12 ways, for example, as 55980324 + 1288522816 = 7482^2 + 35896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641206 + ... + 2641714.

It is an arithmetic number, because the mean of its divisors is an integer number (41830285).

Almost surely, 21344503140 is an apocalyptic number.

1344503140 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 1344503140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505890260).

1344503140 is an abundant number, since it is smaller than the sum of its proper divisors (1667277380).

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

1344503140 is a wasteful number, since it uses less digits than its factorization.

1344503140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1344503140 is about 36667.4670518704. The cubic root of 1344503140 is about 1103.7073641960.

Adding to 1344503140 its reverse (413054431), we get a palindrome (1757557571).

The spelling of 1344503140 in words is "one billion, three hundred forty-four million, five hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 457 509 578 914 1018 1156 1445 1828 2036 2285 2545 2890 4570 5090 5780 7769 8653 9140 10180 15538 17306 31076 34612 38845 43265 77690 86530 132073 147101 155380 173060 232613 264146 294202 465226 528292 588404 660365 735505 930452 1163065 1320730 1471010 2326130 2641460 2942020 3954421 4652260 7908842 15817684 19772105 39544210 67225157 79088420 134450314 268900628 336125785 672251570 1344503140