Search a number
-
+
34909696305 = 3451122033557
BaseRepresentation
bin100000100000110001…
…111011000100110001
310100002220202022120000
4200200301323010301
51032443340240210
624012015540213
72344044344151
oct404061730461
9110086668500
1034909696305
1113894682590
12692322a669
1333a45c6743
141992520761
15d94b93ac0
hex820c7b131

34909696305 has 80 divisors (see below), whose sum is σ = 68318040384. Its totient is φ = 16913473920.

The previous prime is 34909696291. The next prime is 34909696313. The reversal of 34909696305 is 50369690943.

34909696305 is a `hidden beast` number, since 3 + 490 + 96 + 9 + 63 + 0 + 5 = 666.

It is not a de Polignac number, because 34909696305 - 213 = 34909688113 is a prime.

It is a super-2 number, since 2×349096963052 (a number of 22 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9812587 + ... + 9816143.

Almost surely, 234909696305 is an apocalyptic number.

It is an amenable number.

34909696305 is a deficient number, since it is larger than the sum of its proper divisors (33408344079).

34909696305 is a wasteful number, since it uses less digits than its factorization.

34909696305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 34909696305 in words is "thirty-four billion, nine hundred nine million, six hundred ninety-six thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 2203 3557 4455 6609 10671 11015 17785 19827 24233 32013 33045 39127 53355 59481 72699 96039 99135 117381 121165 160065 178443 195635 218097 288117 297405 352143 363495 480195 586905 654291 892215 1056429 1090485 1440585 1760715 1962873 3169287 3271455 5282145 7836071 9814365 15846435 23508213 39180355 70524639 86196781 117541065 211573917 258590343 352623195 430983905 634721751 775771029 1057869585 1292951715 2327313087 3173608755 3878855145 6981939261 11636565435 34909696305