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34425454230 = 23259734911299
BaseRepresentation
bin100000000011111010…
…101011111010010110
310021212011120021022100
4200003322223322112
51031000404013410
623452000542530
72326044350526
oct400372537226
9107764507270
1034425454230
11136662a9322
126809021a46
13332819ac7b
1419480ab686
15d673de8c0
hex803eabe96

34425454230 has 96 divisors (see below), whose sum is σ = 90696060000. Its totient is φ = 9058646016.

The previous prime is 34425454199. The next prime is 34425454243. The reversal of 34425454230 is 3245452443.

34425454230 is a `hidden beast` number, since 3 + 4 + 42 + 545 + 42 + 30 = 666.

34425454230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344254542302 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3041121 + ... + 3052419.

It is an arithmetic number, because the mean of its divisors is an integer number (944750625).

Almost surely, 234425454230 is an apocalyptic number.

34425454230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34425454230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45348030000).

34425454230 is an abundant number, since it is smaller than the sum of its proper divisors (56270605770).

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

34425454230 is a wasteful number, since it uses less digits than its factorization.

34425454230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 34425454230 in words is "thirty-four billion, four hundred twenty-five million, four hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 349 485 582 698 873 970 1047 1455 1745 1746 2094 2910 3141 3490 4365 5235 6282 8730 10470 11299 15705 22598 31410 33853 33897 56495 67706 67794 101559 101691 112990 169265 169485 203118 203382 304677 338530 338970 507795 508455 609354 1015590 1016910 1096003 1523385 2192006 3046770 3288009 3943351 5480015 6576018 7886702 9864027 10960030 11830053 16440045 19716755 19728054 23660106 32880090 35490159 39433510 49320135 59150265 70980318 98640270 118300530 177450795 354901590 382505047 765010094 1147515141 1912525235 2295030282 3442545423 3825050470 5737575705 6885090846 11475151410 17212727115 34425454230