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34216611352 = 2371125049677
BaseRepresentation
bin11111110111011110…
…000000111000011000
310021022121120221201221
4133313132000320120
51030033423030402
623415140421424
72320630253260
oct376736007030
9107277527657
1034216611352
1113569426600
12676b0a7874
1332c3b389c1
1419284667a0
15d53dda337
hex7f7780e18

34216611352 has 48 divisors (see below), whose sum is σ = 80592860880. Its totient is φ = 13331144640.

The previous prime is 34216611347. The next prime is 34216611353. The reversal of 34216611352 is 25311661243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34216611353) 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 11 ways as a sum of consecutive naturals, for example, 2518063 + ... + 2531614.

It is an arithmetic number, because the mean of its divisors is an integer number (1679017935).

Almost surely, 234216611352 is an apocalyptic number.

It is an amenable number.

34216611352 is an abundant number, since it is smaller than the sum of its proper divisors (46376249528).

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

34216611352 is a wasteful number, since it uses less digits than its factorization.

34216611352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049712 (or 5049697 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The spelling of 34216611352 in words is "thirty-four billion, two hundred sixteen million, six hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3388 6776 5049677 10099354 20198708 35347739 40397416 55546447 70695478 111092894 141390956 222185788 282781912 388825129 444371576 611010917 777650258 1222021834 1555300516 2444043668 3110601032 4277076419 4888087336 8554152838 17108305676 34216611352