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348444992 = 2671136883
BaseRepresentation
bin10100110001001…
…101100101000000
3220021122211200002
4110301031211000
51203200214432
654324215132
711430506420
oct2461154500
9807584602
10348444992
11169762975
129883a4a8
135726048c
14343c4480
15208cce62
hex14c4d940

348444992 has 56 divisors (see below), whose sum is σ = 797332416. Its totient is φ = 147990528.

The previous prime is 348444989. The next prime is 348444997. The reversal of 348444992 is 299444843.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348444997) 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, 47183 + ... + 54065.

Almost surely, 2348444992 is an apocalyptic number.

348444992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398666208).

348444992 is an abundant number, since it is smaller than the sum of its proper divisors (448887424).

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

348444992 is a wasteful number, since it uses less digits than its factorization.

348444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7005 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The square root of 348444992 is about 18666.6813333276. The cubic root of 348444992 is about 703.6846469835.

The spelling of 348444992 in words is "three hundred forty-eight million, four hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 6883 7232 12656 13766 25312 27532 48181 50624 55064 96362 110128 192724 220256 385448 440512 770896 777779 1541792 1555558 3083584 3111116 5444453 6222232 10888906 12444464 21777812 24888928 43555624 49777856 87111248 174222496 348444992