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234314245452 = 223719227128513
BaseRepresentation
bin1101101000111000110…
…1111010010101001100
3211101210202120222001010
43122032031322111030
512314333421323302
6255350435245220
722633345136640
oct3321615722514
9741722528033
10234314245452
1190410312741
12394b3449810
1319132450821
14b4ab4c0c20
156165be816c
hex368e37a54c

234314245452 has 144 divisors (see below), whose sum is σ = 661911677952. Its totient is φ = 63187153920.

The previous prime is 234314245441. The next prime is 234314245463. The reversal of 234314245452 is 254542413432.

234314245452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234314245441) and next prime (234314245463).

It is a self number, because there is not a number n which added to its sum of digits gives 234314245452.

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, 8203548 + ... + 8232060.

Almost surely, 2234314245452 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 234314245452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330955838976).

234314245452 is an abundant number, since it is smaller than the sum of its proper divisors (427597432500).

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

234314245452 is a wasteful number, since it uses less digits than its factorization.

234314245452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28836 (or 28815 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

Adding to 234314245452 its reverse (254542413432), we get a palindrome (488856658884).

The spelling of 234314245452 in words is "two hundred thirty-four billion, three hundred fourteen million, two hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 271 361 399 532 542 722 798 813 1083 1084 1444 1596 1626 1897 2166 2527 3252 3794 4332 5054 5149 5691 7581 7588 10108 10298 11382 15162 15447 20596 22764 28513 30324 30894 36043 57026 61788 72086 85539 97831 108129 114052 144172 171078 195662 199591 216258 293493 342156 391324 399182 432516 541747 586986 598773 684817 798364 1083494 1173972 1197546 1369634 1625241 2054451 2166988 2395092 2739268 3250482 3792229 4108902 6500964 7584458 7727023 8217804 10293193 11376687 15168916 15454046 20586386 22753374 23181069 30879579 30908092 41172772 45506748 46362138 54089161 61759158 72052351 92724276 108178322 123518316 144104702 146813437 162267483 216157053 216356644 288209404 293626874 324534966 432314106 440440311 587253748 649069932 864628212 880880622 1027694059 1761761244 2055388118 2789455303 3083082177 4110776236 5578910606 6166164354 8368365909 11157821212 12332328708 16736731818 19526187121 33473463636 39052374242 58578561363 78104748484 117157122726 234314245452