Search a number
-
+
343954688 = 2871117449
BaseRepresentation
bin10100100000000…
…101010100000000
3212222012201010112
4110200011110000
51201023022223
654044050452
711344365230
oct2440052400
9788181115
10343954688
11167176280
1297233a28
135634a6ac
1433975cc0
15202e2778
hex14805500

343954688 has 72 divisors (see below), whose sum is σ = 856027200. Its totient is φ = 134000640.

The previous prime is 343954679. The next prime is 343954717. The reversal of 343954688 is 886459343.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10988 + ... + 28436.

Almost surely, 2343954688 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 343954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428013600).

343954688 is an abundant number, since it is smaller than the sum of its proper divisors (512072512).

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

343954688 is a wasteful number, since it uses less digits than its factorization.

343954688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17483 (or 17469 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The square root of 343954688 is about 18546.0154211087. The cubic root of 343954688 is about 700.6488460030.

The spelling of 343954688 in words is "three hundred forty-three million, nine hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 17449 19712 34898 69796 122143 139592 191939 244286 279184 383878 488572 558368 767756 977144 1116736 1343573 1535512 1954288 2233472 2687146 3071024 3908576 4466944 5374292 6142048 7817152 10748584 12284096 15634304 21497168 24568192 31268608 42994336 49136384 85988672 171977344 343954688