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343322241312 = 253191011863613
BaseRepresentation
bin1001111111011111001…
…10011010100100100000
31012211011201100220120010
410333233212122210200
521111110443210222
6421415311044520
733542562621021
oct4775746324440
91184151326503
10343322241312
11122669500416
1256655b10740
13264b527cb1b
141288ca38c48
158de5b8d80c
hex4fef99a920

343322241312 has 96 divisors (see below), whose sum is σ = 958046685120. Its totient is φ = 107344051200.

The previous prime is 343322241271. The next prime is 343322241329. The reversal of 343322241312 is 213142223343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3433222413122 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 343322241312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747583 + ... + 1116030.

It is an arithmetic number, because the mean of its divisors is an integer number (9979652970).

Almost surely, 2343322241312 is an apocalyptic number.

343322241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343322241312 is an abundant number, since it is smaller than the sum of its proper divisors (614724443808).

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

343322241312 is a wasteful number, since it uses less digits than its factorization.

343322241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863746 (or 1863738 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 343322241312 its reverse (213142223343), we get a palindrome (556464464655).

The spelling of 343322241312 in words is "three hundred forty-three billion, three hundred twenty-two million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 101 114 152 202 228 303 304 404 456 606 608 808 912 1212 1616 1824 1919 2424 3232 3838 4848 5757 7676 9696 11514 15352 23028 30704 46056 61408 92112 184224 1863613 3727226 5590839 7454452 11181678 14908904 22363356 29817808 35408647 44726712 59635616 70817294 89453424 106225941 141634588 178906848 188224913 212451882 283269176 376449826 424903764 564674739 566538352 752899652 849807528 1129349478 1133076704 1505799304 1699615056 2258698956 3011598608 3399230112 3576273347 4517397912 6023197216 7152546694 9034795824 10728820041 14305093388 18069591648 21457640082 28610186776 42915280164 57220373552 85830560328 114440747104 171661120656 343322241312