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34230350300 = 22522322376653
BaseRepresentation
bin11111111000010010…
…011011000111011100
310021100120102222000212
4133320102123013130
51030100432202200
623420351111552
72321155114436
oct377022330734
9107316388025
1034230350300
111357615a903
1267738125b8
1332c6939363
14192a201656
15d55201035
hex7f849b1dc

34230350300 has 72 divisors (see below), whose sum is σ = 77555723616. Its totient is φ = 13089007360.

The previous prime is 34230350293. The next prime is 34230350327. The reversal of 34230350300 is 305303243.

It is a super-3 number, since 3×342303503003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5141774 + ... + 5148426.

It is an arithmetic number, because the mean of its divisors is an integer number (1077162828).

Almost surely, 234230350300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34230350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38777861808).

34230350300 is an abundant number, since it is smaller than the sum of its proper divisors (43325373316).

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

34230350300 is a wasteful number, since it uses less digits than its factorization.

34230350300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 23.

Adding to 34230350300 its reverse (305303243), we get a palindrome (34535653543).

The spelling of 34230350300 in words is "thirty-four billion, two hundred thirty million, three hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2237 2300 4474 6653 8948 11185 13306 22370 26612 33265 44740 51451 55925 66530 102902 111850 133060 153019 166325 205804 223700 257255 306038 332650 514510 612076 665300 765095 1029020 1286275 1530190 2572550 3060380 3825475 5145100 7650950 14882761 15301900 29765522 59531044 74413805 148827610 297655220 342303503 372069025 684607006 744138050 1369214012 1488276100 1711517515 3423035030 6846070060 8557587575 17115175150 34230350300