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342105344 = 287292227
BaseRepresentation
bin10100011001000…
…001110100000000
3212211201202022022
4110121001310000
51200034332334
653540301012
711322563450
oct2431016400
9784652268
10342105344
11166122899
12966a1768
1355b509c9
1433613d60
152007982e
hex14641d00

342105344 has 108 divisors (see below), whose sum is σ = 811827744. Its totient is φ = 140937216.

The previous prime is 342105311. The next prime is 342105347. The reversal of 342105344 is 443501243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342105347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506959 + ... + 1507185.

Almost surely, 2342105344 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 342105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405913872).

342105344 is an abundant number, since it is smaller than the sum of its proper divisors (469722400).

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

342105344 is an equidigital number, since it uses as much as digits as its factorization.

342105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 342105344 is about 18496.0899651791. The cubic root of 342105344 is about 699.3908605573.

Adding to 342105344 its reverse (443501243), we get a palindrome (785606587).

The spelling of 342105344 in words is "three hundred forty-two million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 227 232 256 406 448 454 464 812 841 896 908 928 1589 1624 1682 1792 1816 1856 3178 3248 3364 3632 3712 5887 6356 6496 6583 6728 7264 7424 11774 12712 12992 13166 13456 14528 23548 25424 25984 26332 26912 29056 46081 47096 50848 51968 52664 53824 58112 92162 94192 101696 105328 107648 184324 188384 190907 203392 210656 215296 368648 376768 381814 406784 421312 737296 753536 763628 842624 1336349 1474592 1507072 1527256 1685248 2672698 2949184 3054512 5345396 5898368 6109024 10690792 11796736 12218048 21381584 24436096 42763168 48872192 85526336 171052672 342105344