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350235332240 = 24524135351461
BaseRepresentation
bin1010001100010111010…
…01110000111010010000
31020111000111120022111212
411012023221300322100
521214240221112430
6424521302355252
734206105130043
oct5061351607220
91214014508455
10350235332240
11125596794a02
1257a6512bb28
1327047576981
1412d46c10c5a
15919ca3bb95
hex518ba70e90

350235332240 has 80 divisors (see below), whose sum is σ = 820008270576. Its totient is φ = 139114905600.

The previous prime is 350235332191. The next prime is 350235332263. The reversal of 350235332240 is 42233532053.

It can be written as a sum of positive squares in 8 ways, for example, as 225840784 + 350009491456 = 15028^2 + 591616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 350235332197 and 350235332206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6780110 + ... + 6831570.

Almost surely, 2350235332240 is an apocalyptic number.

It is an amenable number.

350235332240 is an abundant number, since it is smaller than the sum of its proper divisors (469772938336).

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

350235332240 is a wasteful number, since it uses less digits than its factorization.

350235332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52068 (or 52062 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 32.

Adding to 350235332240 its reverse (42233532053), we get a palindrome (392468864293).

The spelling of 350235332240 in words is "three hundred fifty billion, two hundred thirty-five million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 353 482 706 964 1205 1412 1765 1928 2410 2824 3530 3856 4820 5648 7060 9640 14120 19280 28240 51461 85073 102922 170146 205844 257305 340292 411688 425365 514610 680584 823376 850730 1029220 1361168 1701460 2058440 3402920 4116880 6805840 12402101 18165733 24804202 36331466 49608404 62010505 72662932 90828665 99216808 124021010 145325864 181657330 198433616 248042020 290651728 363314660 496084040 726629320 992168080 1453258640 4377941653 8755883306 17511766612 21889708265 35023533224 43779416530 70047066448 87558833060 175117666120 350235332240