Search a number
-
+
34711043481 = 3412721632
BaseRepresentation
bin100000010100111100…
…000111110110011001
310022121001221201010000
4200110330013312121
51032042011342411
623540202043213
72336113000332
oct402474076631
9108531851100
1034711043481
11137a252a7a4
1268887a9509
1333723c16aa
141973dad289
15d82503956
hex814f07d99

34711043481 has 45 divisors (see below), whose sum is σ = 52586404101. Its totient is φ = 22817635848.

The previous prime is 34711043441. The next prime is 34711043509. The reversal of 34711043481 is 18434011743.

The square root of 34711043481 is 186309.

It is a perfect power (a square), and thus also a powerful number.

34711043481 is a `hidden beast` number, since 3 + 4 + 71 + 104 + 3 + 481 = 666.

It is not a de Polignac number, because 34711043481 - 227 = 34576825753 is a prime.

It is a super-2 number, since 2×347110434812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34711043441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 212951106 + ... + 212951268.

Almost surely, 234711043481 is an apocalyptic number.

34711043481 is the 186309-th square number.

34711043481 is the 93155-th centered octagonal number.

It is an amenable number.

34711043481 is a deficient number, since it is larger than the sum of its proper divisors (17875360620).

34711043481 is an frugal number, since it uses more digits than its factorization.

34711043481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 34711043481 by its sum of digits (36), we get a square (1249597565316 = 11178542).

The spelling of 34711043481 in words is "thirty-four billion, seven hundred eleven million, forty-three thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 127 163 381 489 1143 1467 3429 4401 10287 13203 16129 20701 26569 48387 62103 79707 145161 186309 239121 435483 558927 717363 1306449 1676781 2152089 2629027 3374263 7887081 10122789 23661243 30368367 70983729 91105101 212951187 273315303 428531401 1285594203 3856782609 11570347827 34711043481