Search a number
-
+
342122430330 = 232531337363871
BaseRepresentation
bin1001111101010000001…
…01011111111101111010
31012201002002201012022100
410332220011133331322
521101131320232310
6421100251004230
733501053450562
oct4765005377572
91181062635270
10342122430330
1112210321369a
1256380139676
13263538236b5
14127b7557da2
158d7568dec0
hex4fa815ff7a

342122430330 has 96 divisors (see below), whose sum is σ = 920939655168. Its totient is φ = 88027430400.

The previous prime is 342122430311. The next prime is 342122430347. The reversal of 342122430330 is 33034221243.

342122430330 is a `hidden beast` number, since 342 + 12 + 2 + 4 + 303 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 342122430294 and 342122430303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758295 + ... + 1122165.

It is an arithmetic number, because the mean of its divisors is an integer number (9593121408).

Almost surely, 2342122430330 is an apocalyptic number.

342122430330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342122430330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460469827584).

342122430330 is an abundant number, since it is smaller than the sum of its proper divisors (578817224838).

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

342122430330 is a wasteful number, since it uses less digits than its factorization.

342122430330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364252 (or 364249 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 342122430330 its reverse (33034221243), we get a palindrome (375156651573).

The spelling of 342122430330 in words is "three hundred forty-two billion, one hundred twenty-two million, four hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 337 465 558 674 930 1011 1395 1685 2022 2790 3033 3370 5055 6066 10110 10447 15165 20894 30330 31341 52235 62682 94023 104470 156705 188046 313410 363871 470115 727742 940230 1091613 1819355 2183226 3274839 3638710 5458065 6549678 10916130 11280001 16374195 22560002 32748390 33840003 56400005 67680006 101520009 112800010 122624527 169200015 203040018 245249054 338400030 367873581 507600045 613122635 735747162 1015200090 1103620743 1226245270 1839367905 2207241486 3678735810 3801360337 5518103715 7602720674 11036207430 11404081011 19006801685 22808162022 34212243033 38013603370 57020405055 68424486066 114040810110 171061215165 342122430330