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34223432243 = 7112133977829
BaseRepresentation
bin11111110111111000…
…000010001000110011
310021100002102111020112
4133313320002020303
51030042144312433
623415542531535
72321042242250
oct376770021063
9107302374215
1034223432243
1113572265200
126771436bab
1332c5386530
141929320427
15d547d6348
hex7f7e02233

34223432243 has 48 divisors (see below), whose sum is σ = 46421000640. Its totient is φ = 24551112960.

The previous prime is 34223432209. The next prime is 34223432281.

It is a happy number.

34223432243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34223432243 - 212 = 34223428147 is a prime.

It is a super-2 number, since 2×342234322432 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34223435243) 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 47 ways as a sum of consecutive naturals, for example, 4367453 + ... + 4375281.

It is an arithmetic number, because the mean of its divisors is an integer number (967104180).

Almost surely, 234223432243 is an apocalyptic number.

34223432243 is a deficient number, since it is larger than the sum of its proper divisors (12197568397).

34223432243 is a wasteful number, since it uses less digits than its factorization.

34223432243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8257 counting only the distinct ones).

The product of its digits is 82944, while the sum is 32.

The spelling of 34223432243 in words is "thirty-four billion, two hundred twenty-three million, four hundred thirty-two thousand, two hundred forty-three".

Divisors: 1 7 11 13 77 91 121 143 397 847 1001 1573 2779 4367 5161 7829 11011 30569 36127 48037 54803 56771 86119 101777 336259 397397 602833 624481 712439 947309 1119547 3108113 4371367 6631163 7836829 12315017 21756791 34189243 40405469 86205119 239324701 282838283 376081673 444460159 2632571711 3111221113 4889061749 34223432243