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1310042340 = 2232553137321
BaseRepresentation
bin100111000010101…
…1010100011100100
310101022002001020200
41032011122203210
510140332323330
6333554430500
744315114265
oct11605324344
93338061220
101310042340
11612537222
12306892430
1317b542ba9
14c5db696c
157a025a60
hex4e15a8e4

1310042340 has 72 divisors (see below), whose sum is σ = 4048801848. Its totient is φ = 342750720.

The previous prime is 1310042339. The next prime is 1310042341. The reversal of 1310042340 is 432400131.

It is an interprime number because it is at equal distance from previous prime (1310042339) and next prime (1310042341).

It can be written as a sum of positive squares in 4 ways, for example, as 486467136 + 823575204 = 22056^2 + 28698^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1310042341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59121 + ... + 78200.

It is an arithmetic number, because the mean of its divisors is an integer number (56233359).

Almost surely, 21310042340 is an apocalyptic number.

1310042340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310042340 is an abundant number, since it is smaller than the sum of its proper divisors (2738759508).

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

1310042340 is a wasteful number, since it uses less digits than its factorization.

1310042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137389 (or 137384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1310042340 is about 36194.5070418151. The cubic root of 1310042340 is about 1094.1959694702.

Adding to 1310042340 its reverse (432400131), we get a palindrome (1742442471).

The spelling of 1310042340 in words is "one billion, three hundred ten million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 137321 274642 411963 549284 686605 823926 1235889 1373210 1647852 2059815 2471778 2746420 4119630 4943556 6179445 7278013 8239260 12358890 14556026 21834039 24717780 29112052 36390065 43668078 65502117 72780130 87336156 109170195 131004234 145560260 218340390 262008468 327510585 436680780 655021170 1310042340