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343302434112 = 26311162548501
BaseRepresentation
bin1001111111011100110…
…10110110110101000000
31012211010100002121012010
410333232122312311000
521111040410342422
6421413322332520
733542232354051
oct4775632666500
91184110077163
10343302434112
11122659301a30
125664b35a140
13264b11363a1
141288a160728
158de4079b0c
hex4fee6b6d40

343302434112 has 56 divisors (see below), whose sum is σ = 990895668192. Its totient is φ = 104031040000.

The previous prime is 343302434107. The next prime is 343302434129. The reversal of 343302434112 is 211434203343.

It is a happy number.

It is a super-3 number, since 3×3433024341123 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 343302434112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81272139 + ... + 81276362.

Almost surely, 2343302434112 is an apocalyptic number.

343302434112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343302434112 is an abundant number, since it is smaller than the sum of its proper divisors (647593234080).

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

343302434112 is a wasteful number, since it uses less digits than its factorization.

343302434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162548527 (or 162548517 counting only the distinct ones).

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

Adding to 343302434112 its reverse (211434203343), we get a palindrome (554736637455).

The spelling of 343302434112 in words is "three hundred forty-three billion, three hundred two million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 162548501 325097002 487645503 650194004 975291006 1300388008 1788033511 1950582012 2600776016 3576067022 3901164024 5201552032 5364100533 7152134044 7802328048 10403104064 10728201066 14304268088 15604656096 21456402132 28608536176 31209312192 42912804264 57217072352 85825608528 114434144704 171651217056 343302434112