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1350312240 = 243579229311
BaseRepresentation
bin101000001111100…
…0010000100110000
310111002211222011110
41100133002010300
510231134442430
6341553513320
745314315244
oct12037020460
93432758143
101350312240
11633241632
12318272840
131869a2534
14cb49a424
157d82c7b0
hex507c2130

1350312240 has 160 divisors (see below), whose sum is σ = 4271155200. Its totient is φ = 352834560.

The previous prime is 1350312211. The next prime is 1350312241. The reversal of 1350312240 is 422130531.

It is not an unprimeable number, because it can be changed into a prime (1350312241) 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 31 ways as a sum of consecutive naturals, for example, 4341685 + ... + 4341995.

It is an arithmetic number, because the mean of its divisors is an integer number (26694720).

Almost surely, 21350312240 is an apocalyptic number.

1350312240 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 1350312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135577600).

1350312240 is an abundant number, since it is smaller than the sum of its proper divisors (2920842960).

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

1350312240 is a wasteful number, since it uses less digits than its factorization.

1350312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1350312240 is about 36746.5949442938. The cubic root of 1350312240 is about 1105.2946505790.

Adding to 1350312240 its reverse (422130531), we get a palindrome (1772442771).

The spelling of 1350312240 in words is "one billion, three hundred fifty million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 229 237 240 311 316 395 458 474 622 632 687 790 916 933 948 1145 1185 1244 1264 1374 1555 1580 1832 1866 1896 2290 2370 2488 2748 3110 3160 3435 3664 3732 3792 4580 4665 4740 4976 5496 6220 6320 6870 7464 9160 9330 9480 10992 12440 13740 14928 18091 18320 18660 18960 24569 24880 27480 36182 37320 49138 54273 54960 71219 72364 73707 74640 90455 98276 108546 122845 142438 144728 147414 180910 196552 213657 217092 245690 271365 284876 289456 294828 356095 361820 368535 393104 427314 434184 491380 542730 569752 589656 712190 723640 737070 854628 868368 982760 1068285 1085460 1139504 1179312 1424380 1447280 1474140 1709256 1965520 2136570 2170920 2848760 2948280 3418512 4273140 4341840 5626301 5697520 5896560 8546280 11252602 16878903 17092560 22505204 28131505 33757806 45010408 56263010 67515612 84394515 90020816 112526020 135031224 168789030 225052040 270062448 337578060 450104080 675156120 1350312240