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34234112224 = 251397848387
BaseRepresentation
bin11111111000100000…
…110001100011100000
310021100211112002102101
4133320200301203200
51030102413042344
623421003500144
72321232103234
oct377040614340
9107324462371
1034234112224
111357829a234
126774b27654
1332c7655750
14192a9005c4
15d556e59d4
hex7f88318e0

34234112224 has 48 divisors (see below), whose sum is σ = 73331265168. Its totient is φ = 15637450752.

The previous prime is 34234112221. The next prime is 34234112279. The reversal of 34234112224 is 42221143243.

It is a junction number, because it is equal to n+sod(n) for n = 34234112192 and 34234112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234112221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383842 + ... + 464545.

It is an arithmetic number, because the mean of its divisors is an integer number (1527734691).

Almost surely, 234234112224 is an apocalyptic number.

It is an amenable number.

34234112224 is an abundant number, since it is smaller than the sum of its proper divisors (39097152944).

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

34234112224 is a wasteful number, since it uses less digits than its factorization.

34234112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848507 (or 848499 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 34234112224 its reverse (42221143243), we get a palindrome (76455255467).

The spelling of 34234112224 in words is "thirty-four billion, two hundred thirty-four million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1261 1552 2522 3104 5044 10088 20176 40352 848387 1696774 3393548 6787096 11029031 13574192 22058062 27148384 44116124 82293539 88232248 164587078 176464496 329174156 352928992 658348312 1069816007 1316696624 2139632014 2633393248 4279264028 8558528056 17117056112 34234112224