Search a number
-
+
34343102115 = 345721730567
BaseRepresentation
bin11111111111000000…
…100010011010100011
310021122102121100110000
4133333000202122203
51030313313231430
623435455511043
72324024360100
oct377700423243
9107572540400
1034343102115
1113623870a23
1267a5528483
1333140c60ca
14193b191aa7
15d60073e60
hex7ff0226a3

34343102115 has 60 divisors (see below), whose sum is σ = 71614364976. Its totient is φ = 15699694752.

The previous prime is 34343102111. The next prime is 34343102149. The reversal of 34343102115 is 51120134343.

It is a happy number.

34343102115 is a `hidden beast` number, since 3 + 434 + 3 + 10 + 211 + 5 = 666.

It is not a de Polignac number, because 34343102115 - 22 = 34343102111 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34343102111) 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 59 ways as a sum of consecutive naturals, for example, 845439 + ... + 885128.

Almost surely, 234343102115 is an apocalyptic number.

34343102115 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34343102115 is an abundant number, since it is smaller than the sum of its proper divisors (37271262861).

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

34343102115 is a wasteful number, since it uses less digits than its factorization.

34343102115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730598 (or 1730582 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34343102115 its reverse (51120134343), we get a palindrome (85463236458).

The spelling of 34343102115 in words is "thirty-four billion, three hundred forty-three million, one hundred two thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 6615 19845 1730567 5191701 8652835 12113969 15575103 25958505 36341907 46725309 60569845 77875515 84797783 109025721 140175927 181709535 233626545 254393349 327077163 423988915 545128605 700879635 763180047 981231489 1271966745 1635385815 2289540141 3815900235 4906157445 6868620423 11447700705 34343102115