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342125344 = 25113472801
BaseRepresentation
bin10100011001000…
…110101100100000
3212211202202202001
4110121012230200
51200041002334
653540533344
711323005661
oct2431065440
9784682661
10342125344
11166136920
12966b1254
1355b59b42
143361b368
1520080714
hex14646b20

342125344 has 48 divisors (see below), whose sum is σ = 737172576. Its totient is φ = 155008000.

The previous prime is 342125327. The next prime is 342125359. The reversal of 342125344 is 443521243.

It is a happy 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, 120744 + ... + 123544.

It is an arithmetic number, because the mean of its divisors is an integer number (15357762).

Almost surely, 2342125344 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 342125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368586288).

342125344 is an abundant number, since it is smaller than the sum of its proper divisors (395047232).

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

342125344 is a wasteful number, since it uses less digits than its factorization.

342125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3161 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 342125344 is about 18496.6306120872. The cubic root of 342125344 is about 699.4044894437.

Adding to 342125344 its reverse (443521243), we get a palindrome (785646587).

The spelling of 342125344 in words is "three hundred forty-two million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 347 352 694 1388 2776 2801 3817 5552 5602 7634 11104 11204 15268 22408 30536 30811 44816 61072 61622 89632 122144 123244 246488 492976 971947 985952 1943894 3887788 7775576 10691417 15551152 21382834 31102304 42765668 85531336 171062672 342125344