Search a number
-
+
34210301064 = 23314928033413
BaseRepresentation
bin11111110111000101…
…111100010010001000
310021022011201100122120
4133313011330102020
51030030314113224
623414353251240
72320522522032
oct376705742210
9107264640576
1034210301064
1113565906595
126768b63b20
1332c27396c4
1419276a2c52
15d53590779
hex7f717c488

34210301064 has 64 divisors (see below), whose sum is σ = 86155704000. Its totient is φ = 11319542016.

The previous prime is 34210301029. The next prime is 34210301077. The reversal of 34210301064 is 46010301243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10021822 + ... + 10025234.

It is an arithmetic number, because the mean of its divisors is an integer number (1346182875).

Almost surely, 234210301064 is an apocalyptic number.

It is an amenable number.

34210301064 is an abundant number, since it is smaller than the sum of its proper divisors (51945402936).

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

34210301064 is a wasteful number, since it uses less digits than its factorization.

34210301064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 34210301064 in words is "thirty-four billion, two hundred ten million, three hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 596 894 1192 1788 2803 3413 3576 5606 6826 8409 10239 11212 13652 16818 20478 22424 27304 33636 40956 67272 81912 417647 508537 835294 1017074 1252941 1525611 1670588 2034148 2505882 3051222 3341176 4068296 5011764 6102444 9566639 10023528 12204888 19133278 28699917 38266556 57399834 76533112 114799668 229599336 1425429211 2850858422 4276287633 5701716844 8552575266 11403433688 17105150532 34210301064