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352143685348 = 2271312752114621
BaseRepresentation
bin1010001111111010110…
…01100011011011100100
31020122221111110200211121
411013331121203123210
521232142240412343
6425434513143324
734304306636530
oct5077531433344
91218844420747
10352143685348
11126385a25934
12582b825ab44
132728ca435b0
1413088450bc0
159260349aed
hex51fd6636e4

352143685348 has 96 divisors (see below), whose sum is σ = 765955104768. Its totient is φ = 137937945600.

The previous prime is 352143685331. The next prime is 352143685349. The reversal of 352143685348 is 843586341253.

It is a super-2 number, since 2×3521436853482 (a number of 24 digits) contains 22 as substring.

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 = 352143685295 and 352143685304.

It is not an unprimeable number, because it can be changed into a prime (352143685349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24077478 + ... + 24092098.

It is an arithmetic number, because the mean of its divisors is an integer number (7978699008).

Almost surely, 2352143685348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352143685348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382977552384).

352143685348 is an abundant number, since it is smaller than the sum of its proper divisors (413811419420).

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

352143685348 is a wasteful number, since it uses less digits than its factorization.

352143685348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15293 (or 15291 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 352143685348 in words is "three hundred fifty-two billion, one hundred forty-three million, six hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 127 182 254 364 508 521 889 1042 1651 1778 2084 3302 3556 3647 6604 6773 7294 11557 13546 14588 14621 23114 27092 29242 46228 47411 58484 66167 94822 102347 132334 189644 190073 204694 264668 380146 409388 463169 760292 860171 926338 1330511 1720342 1852676 1856867 2661022 3440684 3713734 5322044 6021197 7427468 7617541 12042394 12998069 15235082 24084788 24139271 25996138 30470164 48278542 51992276 53322787 96557084 99028033 106645574 168974897 198056066 213291148 337949794 396112132 675899588 693196231 967427707 1386392462 1934855414 2772784924 3869710828 6771993949 12576560191 13543987898 25153120382 27087975796 50306240764 88035921337 176071842674 352143685348