Search a number
-
+
34215300434 = 27192329192847
BaseRepresentation
bin11111110111011001…
…000000110101010010
310021022112010100111102
4133313121000311102
51030033104103214
623415052344402
72320613153330
oct376731006522
9107275110442
1034215300434
11135687106a7
12676a775102
1332c379a103
141928204b50
15d53c2bbde
hex7f7640d52

34215300434 has 64 divisors (see below), whose sum is σ = 66648268800. Its totient is φ = 12829658688.

The previous prime is 34215300433. The next prime is 34215300551. The reversal of 34215300434 is 43400351243.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 34215300397 and 34215300406.

It is not an unprimeable number, because it can be changed into a prime (34215300433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80999 + ... + 273845.

It is an arithmetic number, because the mean of its divisors is an integer number (1041379200).

Almost surely, 234215300434 is an apocalyptic number.

34215300434 is a deficient number, since it is larger than the sum of its proper divisors (32432968366).

34215300434 is a wasteful number, since it uses less digits than its factorization.

34215300434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192927.

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 34215300434 its reverse (43400351243), we get a palindrome (77615651677).

The spelling of 34215300434 in words is "thirty-four billion, two hundred fifteen million, three hundred thousand, four hundred thirty-four".

Divisors: 1 2 7 14 19 23 29 38 46 58 133 161 203 266 322 406 437 551 667 874 1102 1334 3059 3857 4669 6118 7714 9338 12673 25346 88711 177422 192847 385694 1349929 2699858 3664093 4435481 5592563 7328186 8870962 11185126 25648651 31048367 39147941 51297302 62096734 78295882 84274139 106258697 128628949 168548278 212517394 257257898 589918973 743810879 900402643 1179837946 1487621758 1800805286 2443950031 4887900062 17107650217 34215300434