Search a number
-
+
346029263944 = 237133591323997
BaseRepresentation
bin1010000100100001111…
…00111000110001001000
31020002011101002220111121
411002100330320301020
521132131442421234
6422544052005024
733666633133210
oct5022074706110
91202141086447
10346029263944
11123828553601
1257090600774
1326827054b70
1412a68379240
15900365e4b4
hex5090f38c48

346029263944 has 64 divisors (see below), whose sum is σ = 800753990400. Its totient is φ = 136509283584.

The previous prime is 346029263939. The next prime is 346029263959. The reversal of 346029263944 is 449362920643.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 346029263891 and 346029263900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400647 + ... + 923350.

It is an arithmetic number, because the mean of its divisors is an integer number (12511781100).

Almost surely, 2346029263944 is an apocalyptic number.

It is an amenable number.

346029263944 is an abundant number, since it is smaller than the sum of its proper divisors (454724726456).

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

346029263944 is a wasteful number, since it uses less digits than its factorization.

346029263944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324382 (or 1324378 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 52.

The spelling of 346029263944 in words is "three hundred forty-six billion, twenty-nine million, two hundred sixty-three thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 359 364 718 728 1436 2513 2872 4667 5026 9334 10052 18668 20104 32669 37336 65338 130676 261352 1323997 2647994 5295988 9267979 10591976 17211961 18535958 34423922 37071916 68847844 74143832 120483727 137695688 240967454 475314923 481934908 950629846 963869816 1901259692 3327204461 3802519384 6179093999 6654408922 12358187998 13308817844 24716375996 26617635688 43253657993 49432751992 86507315986 173014631972 346029263944