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3453993543 = 3711133373413
BaseRepresentation
bin1100110111011111…
…1100001001000111
322220201022001101210
43031313330021013
524033210243133
61330423022503
7151410314010
oct31567741107
98821261353
103453993543
111512764520
1280489aa33
1343077bb80
1424aa24007
15153370763
hexcddfc247

3453993543 has 64 divisors (see below), whose sum is σ = 6203538432. Its totient is φ = 1650862080.

The previous prime is 3453993539. The next prime is 3453993593.

It is a happy number.

3453993543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3453993543 - 22 = 3453993539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3453993492 and 3453993501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453993593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010305 + ... + 1013717.

It is an arithmetic number, because the mean of its divisors is an integer number (96930288).

Almost surely, 23453993543 is an apocalyptic number.

3453993543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3453993543 is a deficient number, since it is larger than the sum of its proper divisors (2749544889).

3453993543 is a wasteful number, since it uses less digits than its factorization.

3453993543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784.

The product of its digits is 2624400, while the sum is 48.

The square root of 3453993543 is about 58770.6860858370. The cubic root of 3453993543 is about 1511.6126132544.

The spelling of 3453993543 in words is "three billion, four hundred fifty-three million, nine hundred ninety-three thousand, five hundred forty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 337 429 1001 1011 2359 3003 3413 3707 4381 7077 10239 11121 13143 23891 25949 30667 37543 44369 48191 71673 77847 92001 112629 133107 144573 262801 310583 337337 488059 788403 931749 1012011 1150181 1464177 3416413 3450543 8051267 10249239 12651991 14952353 24153801 37955973 44857059 88563937 104666471 164475883 265691811 313999413 493427649 1151331181 3453993543