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1347041540 = 2251321372909
BaseRepresentation
bin101000001001010…
…0011100100000100
310110212200210121102
41100102203210010
510224320312130
6341355435232
745244443545
oct12022434404
93425623542
101347041540
11631408279
12317155b18
131860c8900
14cac884cc
157d3d3645
hex504a3904

1347041540 has 72 divisors (see below), whose sum is σ = 3086543880. Its totient is φ = 493569024.

The previous prime is 1347041533. The next prime is 1347041557. The reversal of 1347041540 is 451407431.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 434639104 + 912402436 = 20848^2 + 30206^2 .

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, 461606 + ... + 464514.

It is an arithmetic number, because the mean of its divisors is an integer number (42868665).

Almost surely, 21347041540 is an apocalyptic number.

1347041540 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 1347041540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543271940).

1347041540 is an abundant number, since it is smaller than the sum of its proper divisors (1739502340).

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

1347041540 is a wasteful number, since it uses less digits than its factorization.

1347041540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 1347041540 is about 36702.0645195880. The cubic root of 1347041540 is about 1104.4015213608.

Adding to 1347041540 its reverse (451407431), we get a palindrome (1798448971).

The spelling of 1347041540 in words is "one billion, three hundred forty-seven million, forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 169 260 274 338 548 676 685 845 1370 1690 1781 2740 2909 3380 3562 5818 7124 8905 11636 14545 17810 23153 29090 35620 37817 46306 58180 75634 92612 115765 151268 189085 231530 378170 398533 463060 491621 756340 797066 983242 1594132 1966484 1992665 2458105 3985330 4916210 5180929 7970660 9832420 10361858 20723716 25904645 51809290 67352077 103618580 134704154 269408308 336760385 673520770 1347041540