Search a number
-
+
348443968 = 26173110331
BaseRepresentation
bin10100110001001…
…101010101000000
3220021122210021011
4110301031111000
51203200201333
654324210304
711430503425
oct2461152500
9807583234
10348443968
11169762124
1298839994
135725cb82
14343c3d4c
15208cc9cd
hex14c4d540

348443968 has 56 divisors (see below), whose sum is σ = 755806464. Its totient is φ = 158668800.

The previous prime is 348443939. The next prime is 348443969. The reversal of 348443968 is 869344843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348443969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28563 + ... + 38893.

It is an arithmetic number, because the mean of its divisors is an integer number (13496544).

Almost surely, 2348443968 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 348443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377903232).

348443968 is an abundant number, since it is smaller than the sum of its proper divisors (407362496).

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

348443968 is a wasteful number, since it uses less digits than its factorization.

348443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10391 (or 10381 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

The square root of 348443968 is about 18666.6539047575. The cubic root of 348443968 is about 703.6839576602.

The spelling of 348443968 in words is "three hundred forty-eight million, four hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 4216 8432 10331 16864 20662 33728 41324 82648 165296 175627 320261 330592 351254 640522 661184 702508 1281044 1405016 2562088 2810032 5124176 5444437 5620064 10248352 10888874 11240128 20496704 21777748 43555496 87110992 174221984 348443968