Search a number
-
+
34207104021 = 3435346110853
BaseRepresentation
bin11111110110111001…
…101111110000010101
310021021221200221010120
4133312321233300111
51030024004312041
623414200542153
72320453405146
oct376671576025
9107257627116
1034207104021
1113564022602
126767a81959
1332c1b8a46c
1419270adacd
15d5315d366
hex7f6e6fc15

34207104021 has 32 divisors (see below), whose sum is σ = 47658264192. Its totient is φ = 21804706560.

The previous prime is 34207103999. The next prime is 34207104023. The reversal of 34207104021 is 12040170243.

It is a happy number.

It is not a de Polignac number, because 34207104021 - 217 = 34206972949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34207103982 and 34207104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34207104023) 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 31 ways as a sum of consecutive naturals, for example, 3146431 + ... + 3157283.

It is an arithmetic number, because the mean of its divisors is an integer number (1489320756).

Almost surely, 234207104021 is an apocalyptic number.

It is an amenable number.

34207104021 is a deficient number, since it is larger than the sum of its proper divisors (13451160171).

34207104021 is a wasteful number, since it uses less digits than its factorization.

34207104021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413.

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 34207104021 its reverse (12040170243), we get a palindrome (46247274264).

The spelling of 34207104021 in words is "thirty-four billion, two hundred seven million, one hundred four thousand, twenty-one".

Divisors: 1 3 43 53 129 159 461 1383 2279 6837 10853 19823 24433 32559 59469 73299 466679 575209 1050619 1400037 1725627 3151857 5003233 15009699 24733987 74201961 215139019 265171349 645417057 795514047 11402368007 34207104021