Search a number
-
+
342676488 = 2337111071733
BaseRepresentation
bin10100011011001…
…101010000001000
3212212210202202210
4110123031100020
51200211121423
654000425120
711330462550
oct2433152010
9785722683
10342676488
11166482a10
12969181a0
1355cc096b
1433722160
152013db93
hex146cd408

342676488 has 128 divisors (see below), whose sum is σ = 1078686720. Its totient is φ = 88124160.

The previous prime is 342676447. The next prime is 342676501. The reversal of 342676488 is 884676243.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196870 + ... + 198602.

It is an arithmetic number, because the mean of its divisors is an integer number (8427240).

Almost surely, 2342676488 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 342676488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539343360).

342676488 is an abundant number, since it is smaller than the sum of its proper divisors (736010232).

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

342676488 is a wasteful number, since it uses less digits than its factorization.

342676488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1863 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 342676488 is about 18511.5231139958. The cubic root of 342676488 is about 699.7798545825.

It can be divided in two parts, 34267 and 6488, that added together give a triangular number (40755 = T285).

The spelling of 342676488 in words is "three hundred forty-two million, six hundred seventy-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 107 132 154 168 214 231 264 308 321 428 462 616 642 749 856 924 1177 1284 1498 1733 1848 2247 2354 2568 2996 3466 3531 4494 4708 5199 5992 6932 7062 8239 8988 9416 10398 12131 13864 14124 16478 17976 19063 20796 24262 24717 28248 32956 36393 38126 41592 48524 49434 57189 65912 72786 76252 97048 98868 114378 133441 145572 152504 185431 197736 228756 266882 291144 370862 400323 457512 533764 556293 741724 800646 1067528 1112586 1298017 1483448 1601292 2039741 2225172 2596034 3202584 3894051 4079482 4450344 5192068 6119223 7788102 8158964 10384136 12238446 14278187 15576204 16317928 24476892 28556374 31152408 42834561 48953784 57112748 85669122 114225496 171338244 342676488