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343120430444 = 221117597774867
BaseRepresentation
bin1001111111000111001…
…00100100010101101100
31012210122122121212002112
410333203210210111230
521110202312233234
6421343301343152
733534562352111
oct4774344442554
91183578555075
10343120430444
111225755a0980
12565ba407ab8
13264825104cc
141286dd04908
158dd30c7ace
hex4fe392456c

343120430444 has 48 divisors (see below), whose sum is σ = 705336024960. Its totient is φ = 144301512960.

The previous prime is 343120430441. The next prime is 343120430447. The reversal of 343120430444 is 444034021343.

It is an interprime number because it is at equal distance from previous prime (343120430441) and next prime (343120430447).

It is a self number, because there is not a number n which added to its sum of digits gives 343120430444.

It is not an unprimeable number, because it can be changed into a prime (343120430441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843302 + ... + 3931565.

It is an arithmetic number, because the mean of its divisors is an integer number (14694500520).

Almost surely, 2343120430444 is an apocalyptic number.

343120430444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

343120430444 is an abundant number, since it is smaller than the sum of its proper divisors (362215594516).

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

343120430444 is a wasteful number, since it uses less digits than its factorization.

343120430444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774958 (or 7774956 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 343120430444 its reverse (444034021343), we get a palindrome (787154451787).

The spelling of 343120430444 in words is "three hundred forty-three billion, one hundred twenty million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 59 68 118 187 236 374 649 748 1003 1298 2006 2596 4012 11033 22066 44132 7774867 15549734 31099468 85523537 132172739 171047074 264345478 342094148 458717153 528690956 917434306 1453900129 1834868612 2907800258 5045888683 5815600516 7798191601 10091777366 15596383202 20183554732 31192766404 85780107611 171560215222 343120430444