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343243230224 = 242910118673923
BaseRepresentation
bin1001111111010101110…
…01000000110000010000
31012210222012200201201112
410333222321000300100
521110430231331344
6421403405352452
733540613214006
oct4775271006020
91183865621645
10343243230224
111226289451a4
1256633568728
13264a1aa78bb
141288234ca76
158dddc82c9e
hex4feae40c10

343243230224 has 80 divisors (see below), whose sum is σ = 695326835520. Its totient is φ = 163933324800.

The previous prime is 343243230217. The next prime is 343243230289. The reversal of 343243230224 is 422032342343.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87493127 + ... + 87497049.

It is an arithmetic number, because the mean of its divisors is an integer number (8691585444).

Almost surely, 2343243230224 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 343243230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347663417760).

343243230224 is an abundant number, since it is smaller than the sum of its proper divisors (352083605296).

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

343243230224 is a wasteful number, since it uses less digits than its factorization.

343243230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 343243230224 its reverse (422032342343), we get a palindrome (765275572567).

The spelling of 343243230224 in words is "three hundred forty-three billion, two hundred forty-three million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 1616 1867 2929 3734 3923 5858 7468 7846 11716 14936 15692 23432 29872 31384 46864 54143 62768 108286 113767 188567 216572 227534 377134 396223 433144 455068 754268 792446 866288 910136 1508536 1584892 1820272 3017072 3169784 5468443 6339568 7324241 10936886 11490467 14648482 21873772 22980934 29296964 43747544 45961868 58593928 87495088 91923736 117187856 183847472 212402989 424805978 739748341 849611956 1479496682 1699223912 2958993364 3398447824 5917986728 11835973456 21452701889 42905403778 85810807556 171621615112 343243230224