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1355590434 = 231153616353
BaseRepresentation
bin101000011001100…
…1010101100100010
310111110210010111010
41100303022230202
510234012343214
6342303001350
745410220462
oct12063125442
93443703433
101355590434
11636217180
12319b99256
13187accb23
14cc071ba2
157e021659
hex50ccab22

1355590434 has 64 divisors (see below), whose sum is σ = 3063339648. Its totient is φ = 396364800.

The previous prime is 1355590393. The next prime is 1355590451. The reversal of 1355590434 is 4340955531.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1355590392 and 1355590401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210202 + ... + 216554.

It is an arithmetic number, because the mean of its divisors is an integer number (47864682).

Almost surely, 21355590434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355590434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531669824).

1355590434 is an abundant number, since it is smaller than the sum of its proper divisors (1707749214).

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

1355590434 is a wasteful number, since it uses less digits than its factorization.

1355590434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483.

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 1355590434 is about 36818.3437161424. The cubic root of 1355590434 is about 1106.7329289488.

The spelling of 1355590434 in words is "one billion, three hundred fifty-five million, five hundred ninety thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 61 66 106 122 159 183 318 366 583 671 1166 1342 1749 2013 3233 3498 4026 6353 6466 9699 12706 19059 19398 35563 38118 69883 71126 106689 139766 209649 213378 336709 387533 419298 673418 775066 1010127 1162599 2020254 2325198 3703799 4262863 7407598 8525726 11111397 12788589 20539249 22222794 25577178 41078498 61617747 123235494 225931739 451863478 677795217 1355590434