Search a number
-
+
34220063034 = 23413715110211
BaseRepresentation
bin11111110111101011…
…001011100100111010
310021022212002022120000
4133313223023210322
51030040314004114
623415342413430
72321001510423
oct376753134472
9107285068500
1034220063034
1113570373933
126770291276
1332c4776b11
141928ac464a
15d5436ce09
hex7f7acb93a

34220063034 has 80 divisors (see below), whose sum is σ = 77757109056. Its totient is φ = 11247336000.

The previous prime is 34220063029. The next prime is 34220063039. The reversal of 34220063034 is 43036002243.

It is a happy number.

34220063034 is a `hidden beast` number, since 3 + 4 + 2 + 20 + 0 + 630 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34220063029) and next prime (34220063039).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34220062989 and 34220063007.

It is not an unprimeable number, because it can be changed into a prime (34220063039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3346189 + ... + 3356399.

Almost surely, 234220063034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220063034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38878554528).

34220063034 is an abundant number, since it is smaller than the sum of its proper divisors (43537046022).

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

34220063034 is a wasteful number, since it uses less digits than its factorization.

34220063034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34220063034 its reverse (43036002243), we get a palindrome (77256065277).

The spelling of 34220063034 in words is "thirty-four billion, two hundred twenty million, sixty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 151 162 274 302 411 453 822 906 1233 1359 2466 2718 3699 4077 7398 8154 10211 11097 12231 20422 20687 22194 24462 30633 41374 61266 62061 91899 124122 183798 186183 275697 372366 551394 558549 827091 1117098 1398907 1541861 1654182 1675647 2797814 3083722 3351294 4196721 4625583 8393442 9251166 12590163 13876749 25180326 27753498 37770489 41630247 75540978 83260494 113311467 124890741 211234957 226622934 249781482 422469914 633704871 1267409742 1901114613 3802229226 5703343839 11406687678 17110031517 34220063034