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342313728 = 2831923459
BaseRepresentation
bin10100011001110…
…100101100000000
3212212010100011020
4110121310230000
51200113014403
653544545440
711324422131
oct2431645400
9785110136
10342313728
11166255409
1296782280
1355bc4803
1433669c88
15200bb453
hex14674b00

342313728 has 72 divisors (see below), whose sum is σ = 959044800. Its totient is φ = 108094464.

The previous prime is 342313721. The next prime is 342313729. The reversal of 342313728 is 827313243.

It is not an unprimeable number, because it can be changed into a prime (342313721) 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, 2863 + ... + 26321.

Almost surely, 2342313728 is an apocalyptic number.

342313728 is a gapful number since it is divisible by the number (38) 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 342313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479522400).

342313728 is an abundant number, since it is smaller than the sum of its proper divisors (616731072).

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

342313728 is a wasteful number, since it uses less digits than its factorization.

342313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23497 (or 23483 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 342313728 is about 18501.7222982078. The cubic root of 342313728 is about 699.5328365949.

The spelling of 342313728 in words is "three hundred forty-two million, three hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 23459 46918 70377 93836 140754 187672 281508 375344 445721 563016 750688 891442 1126032 1337163 1501376 1782884 2252064 2674326 3002752 3565768 4504128 5348652 6005504 7131536 9008256 10697304 14263072 18016512 21394608 28526144 42789216 57052288 85578432 114104576 171156864 342313728