Search a number
-
+
342203421252 = 223711601616223
BaseRepresentation
bin1001111101011001110…
…10011101001001000100
31012201021202002221222010
410332230322131021010
521101313033440002
6421112302534220
733503056041660
oct4765472351104
91181252087863
10342203421252
11122144a01340
12563a3297370
132636753cb14
14127c41db8a0
158d7c83b46c
hex4face9d244

342203421252 has 96 divisors (see below), whose sum is σ = 997158887424. Its totient is φ = 88735968000.

The previous prime is 342203421247. The next prime is 342203421311. The reversal of 342203421252 is 252124302243.

342203421252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247213 + ... + 863435.

It is an arithmetic number, because the mean of its divisors is an integer number (10387071744).

Almost surely, 2342203421252 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 342203421252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498579443712).

342203421252 is an abundant number, since it is smaller than the sum of its proper divisors (654955466172).

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

342203421252 is a wasteful number, since it uses less digits than its factorization.

342203421252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616849 (or 616847 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 342203421252 its reverse (252124302243), we get a palindrome (594327723495).

The spelling of 342203421252 in words is "three hundred forty-two billion, two hundred three million, four hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 601 924 1202 1803 2404 3606 4207 6611 7212 8414 12621 13222 16828 19833 25242 26444 39666 46277 50484 79332 92554 138831 185108 277662 555324 616223 1232446 1848669 2464892 3697338 4313561 6778453 7394676 8627122 12940683 13556906 17254244 20335359 25881366 27113812 40670718 47449171 51762732 81341436 94898342 142347513 189796684 284695026 370350023 569390052 740700046 1111050069 1481400092 2222100138 2592450161 4073850253 4444200276 5184900322 7777350483 8147700506 10369800644 12221550759 15554700966 16295401012 24443101518 28516951771 31109401932 48886203036 57033903542 85550855313 114067807084 171101710626 342203421252