Search a number
-
+
1643001438 = 231322959947
BaseRepresentation
bin110000111101110…
…0011011001011110
311020111121010021010
41201323203121132
511331102021223
6431011120050
755500165441
oct14173433136
94214533233
101643001438
11773482331
1239a2a3026
13202510800
141182c9658
1599395393
hex61ee365e

1643001438 has 96 divisors (see below), whose sum is σ = 3747254400. Its totient is φ = 479326848.

The previous prime is 1643001433. The next prime is 1643001439. The reversal of 1643001438 is 8341003461.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643001433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1734481 + ... + 1735427.

It is an arithmetic number, because the mean of its divisors is an integer number (39033900).

Almost surely, 21643001438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1643001438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873627200).

1643001438 is an abundant number, since it is smaller than the sum of its proper divisors (2104252962).

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

1643001438 is a wasteful number, since it uses less digits than its factorization.

1643001438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1643001438 is about 40533.9541372415. The cubic root of 1643001438 is about 1179.9926835705.

Adding to 1643001438 its reverse (8341003461), we get a palindrome (9984004899).

The spelling of 1643001438 in words is "one billion, six hundred forty-three million, one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 13 26 29 39 58 59 78 87 118 169 174 177 338 354 377 507 754 767 947 1014 1131 1534 1711 1894 2262 2301 2841 3422 4602 4901 5133 5682 9802 9971 10266 12311 14703 19942 22243 24622 27463 29406 29913 36933 44486 54926 55873 59826 66729 73866 82389 111746 133458 160043 164778 167619 289159 320086 335238 357019 480129 578318 714038 726349 867477 960258 1071057 1452698 1620317 1734954 2142114 2179047 3240634 4358094 4641247 4860951 9282494 9442537 9721902 13923741 18885074 21064121 27847482 28327611 42128242 56655222 63192363 126384726 273833573 547667146 821500719 1643001438