Search a number
-
+
34004077305 = 35111071926031
BaseRepresentation
bin11111101010110011…
…010000101011111001
310020202210200002211120
4133222303100223321
51024120020433210
623342105215453
72312436613422
oct375263205371
9106683602746
1034004077305
111346a462630
12670ba91589
13328bab3603
141908140649
15d40407270
hex7eacd0af9

34004077305 has 32 divisors (see below), whose sum is σ = 59907299328. Its totient is φ = 16332734400.

The previous prime is 34004077277. The next prime is 34004077307. The reversal of 34004077305 is 50377040043.

It is not a de Polignac number, because 34004077305 - 26 = 34004077241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34004077307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945361 + ... + 980670.

It is an arithmetic number, because the mean of its divisors is an integer number (1872103104).

Almost surely, 234004077305 is an apocalyptic number.

It is an amenable number.

34004077305 is a deficient number, since it is larger than the sum of its proper divisors (25903222023).

34004077305 is a wasteful number, since it uses less digits than its factorization.

34004077305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926157.

The product of its (nonzero) digits is 35280, while the sum is 33.

The spelling of 34004077305 in words is "thirty-four billion, four million, seventy-seven thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 107 165 321 535 1177 1605 3531 5885 17655 1926031 5778093 9630155 21186341 28890465 63559023 105931705 206085317 317795115 618255951 1030426585 2266938487 3091279755 6800815461 11334692435 34004077305