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338443102640 = 245311271074559
BaseRepresentation
bin1001110110011001100…
…01111110100110110000
31012100120200101222120102
410323030301332212300
521021112413241030
6415251214131532
733310635622646
oct4731461764660
91170520358512
10338443102640
11120595343305
1255713ab0ba8
1325bb848a216
1412548a39196
158c0c65cc45
hex4eccc7e9b0

338443102640 has 80 divisors (see below), whose sum is σ = 818659983360. Its totient is φ = 129978535680.

The previous prime is 338443102567. The next prime is 338443102643. The reversal of 338443102640 is 46201344833.

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

It is a super-2 number, since 2×3384431026402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338443102594 and 338443102603.

It is not an unprimeable number, because it can be changed into a prime (338443102643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222320 + ... + 852239.

It is an arithmetic number, because the mean of its divisors is an integer number (10233249792).

Almost surely, 2338443102640 is an apocalyptic number.

It is an amenable number.

338443102640 is an abundant number, since it is smaller than the sum of its proper divisors (480216880720).

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

338443102640 is a wasteful number, since it uses less digits than its factorization.

338443102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074730 (or 1074724 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 338443102640 in words is "three hundred thirty-eight billion, four hundred forty-three million, one hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 127 155 248 254 310 496 508 620 635 1016 1240 1270 2032 2480 2540 3937 5080 7874 10160 15748 19685 31496 39370 62992 78740 157480 314960 1074559 2149118 4298236 5372795 8596472 10745590 17192944 21491180 33311329 42982360 66622658 85964720 133245316 136468993 166556645 266490632 272937986 333113290 532981264 545875972 666226580 682344965 1091751944 1332453160 1364689930 2183503888 2664906320 2729379860 4230538783 5458759720 8461077566 10917519440 16922155132 21152693915 33844310264 42305387830 67688620528 84610775660 169221551320 338443102640