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34332623343 = 32173743141041
BaseRepresentation
bin11111111110011000…
…100100000111101111
310021121200212222021100
4133332120210013233
51030303122421333
623434443134143
72323536324534
oct377630440757
9107550788240
1034332623343
1113618964087
1267a1b14353
133311b97655
141939a24d8b
15d5e1a4213
hex7fe6241ef

34332623343 has 48 divisors (see below), whose sum is σ = 55182400416. Its totient is φ = 20472238080.

The previous prime is 34332623341. The next prime is 34332623393.

It is a happy number.

34332623343 is a `hidden beast` number, since 34 + 33 + 262 + 334 + 3 = 666.

34332623343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34332623343 - 21 = 34332623341 is a prime.

It is a super-2 number, since 2×343326233432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34332623298 and 34332623307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34332623341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172903 + ... + 313943.

It is an arithmetic number, because the mean of its divisors is an integer number (1149633342).

Almost surely, 234332623343 is an apocalyptic number.

34332623343 is a deficient number, since it is larger than the sum of its proper divisors (20849777073).

34332623343 is a wasteful number, since it uses less digits than its factorization.

34332623343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141144 (or 141141 counting only the distinct ones).

The product of its digits is 279936, while the sum is 36.

The spelling of 34332623343 in words is "thirty-four billion, three hundred thirty-two million, six hundred twenty-three thousand, three hundred forty-three".

Divisors: 1 3 9 17 37 43 51 111 129 153 333 387 629 731 1591 1887 2193 4773 5661 6579 14319 27047 81141 141041 243423 423123 1269369 2397697 5218517 6064763 7193091 15655551 18194289 21579273 46966653 54582867 88714789 103100971 224396231 266144367 309302913 673188693 798433101 927908739 2019566079 3814735927 11444207781 34332623343