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342766848 = 2832631697
BaseRepresentation
bin10100011011100…
…011010100000000
3212212222100201110
4110123203110000
51200222014343
654002403320
711331320154
oct2433432400
9785870643
10342766848
11166534896
1296960540
1356022b28
1433747064
152015a833
hex146e3500

342766848 has 72 divisors (see below), whose sum is σ = 916267968. Its totient is φ = 113754112.

The previous prime is 342766819. The next prime is 342766867. The reversal of 342766848 is 848667243.

It is a super-2 number, since 2×3427668482 = 234978224175710208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 342766797 and 342766806.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 201136 + ... + 202832.

It is an arithmetic number, because the mean of its divisors is an integer number (12725944).

Almost surely, 2342766848 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 342766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458133984).

342766848 is an abundant number, since it is smaller than the sum of its proper divisors (573501120).

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

342766848 is a wasteful number, since it uses less digits than its factorization.

342766848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1965 counting only the distinct ones).

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

The square root of 342766848 is about 18513.9635950814. The cubic root of 342766848 is about 699.8413572464.

The spelling of 342766848 in words is "three hundred forty-two million, seven hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 526 768 789 1052 1578 1697 2104 3156 3394 4208 5091 6312 6788 8416 10182 12624 13576 16832 20364 25248 27152 33664 40728 50496 54304 67328 81456 100992 108608 162912 201984 217216 325824 434432 446311 651648 892622 1303296 1338933 1785244 2677866 3570488 5355732 7140976 10711464 14281952 21422928 28563904 42845856 57127808 85691712 114255616 171383424 342766848