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342658468656 = 243272911722033
BaseRepresentation
bin1001111110010000000…
…10010100101100110000
31012202110110100202122200
410333020002110230300
521103231031444111
6421225400103200
733520252632540
oct4771002245460
91182413322580
10342658468656
11122358855179
12564ab764b00
132640a8b603a
1412828811320
158da7775256
hex4fc8094b30

342658468656 has 120 divisors (see below), whose sum is σ = 1133755128480. Its totient is φ = 94526466048.

The previous prime is 342658468651. The next prime is 342658468657. The reversal of 342658468656 is 656864856243.

It is a happy number.

342658468656 is a `hidden beast` number, since 3 + 42 + 6 + 584 + 6 + 8 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×3426584686562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 342658468593 and 342658468602.

It is not an unprimeable number, because it can be changed into a prime (342658468651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5831785 + ... + 5890248.

It is an arithmetic number, because the mean of its divisors is an integer number (9447959404).

Almost surely, 2342658468656 is an apocalyptic number.

342658468656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342658468656 is an abundant number, since it is smaller than the sum of its proper divisors (791096659824).

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

342658468656 is a wasteful number, since it uses less digits than its factorization.

342658468656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722083 (or 11722074 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 342658468656 in words is "three hundred forty-two billion, six hundred fifty-eight million, four hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 11722033 23444066 35166099 46888132 70332198 82054231 93776264 105498297 140664396 164108462 187552528 210996594 246162693 281328792 328216924 339938957 421993188 492325386 562657584 656433848 679877914 738488079 843986376 984650772 1019816871 1312867696 1359755828 1476976158 1687972752 1969301544 2039633742 2379572699 2719511656 2953952316 3059450613 3938603088 4079267484 4759145398 5439023312 5907904632 6118901226 7138718097 8158534968 9518290796 11815809264 12237802452 14277436194 16317069936 19036581592 21416154291 24475604904 28554872388 38073163184 42832308582 48951209808 57109744776 85664617164 114219489552 171329234328 342658468656