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34240311304243 = 11234317318192929
BaseRepresentation
bin1111100100100001100011…
…00101111010000000110011
311111020100020011111120112221
413302100301211322000303
513441443124143213433
6200453440514301511
710132531555650562
oct762206145720063
9144210204446487
1034240311304243
11aa012640a73a0
123a10002b87897
131614b02c645a5
14865350451bd9
153e5a081d372d
hex1f243197a033

34240311304243 has 32 divisors (see below), whose sum is σ = 40114100759040. Its totient is φ = 28913656611840.

The previous prime is 34240311304223. The next prime is 34240311304253.

34240311304243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34240311304243 - 229 = 34239774433331 is a prime.

It is a super-2 number, since 2×342403113042432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34240311304199 and 34240311304208.

It is not an unprimeable number, because it can be changed into a prime (34240311304223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7214398 + ... + 10978531.

It is an arithmetic number, because the mean of its divisors is an integer number (1253565648720).

Almost surely, 234240311304243 is an apocalyptic number.

34240311304243 is a deficient number, since it is larger than the sum of its proper divisors (5873789454797).

34240311304243 is a wasteful number, since it uses less digits than its factorization.

34240311304243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18193179.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 3424031 and 1304243, that added together give a palindrome (4728274).

The spelling of 34240311304243 in words is "thirty-four trillion, two hundred forty billion, three hundred eleven million, three hundred four thousand, two hundred forty-three".

Divisors: 1 11 23 43 173 253 473 989 1903 3979 7439 10879 43769 81829 171097 1882067 18192929 200122219 418437367 782295947 3147376717 4602811037 8605255417 17992806781 34621143887 72389664491 135337198831 197920874591 796286309401 1488709187141 3112755573113 34240311304243