Search a number
-
+
34475441 = 71121331101
BaseRepresentation
bin1000001110000…
…0110110110001
32101212112102012
42003200312301
532311203231
63230532305
7566015330
oct203406661
971775365
1034475441
1118507a00
12b667095
1371b1090
144815d17
15305ee2b
hex20e0db1

34475441 has 48 divisors (see below), whose sum is σ = 48620544. Its totient is φ = 23760000.

The previous prime is 34475423. The next prime is 34475447. The reversal of 34475441 is 14457443.

It is not a de Polignac number, because 34475441 - 26 = 34475377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34475398 and 34475407.

It is not an unprimeable number, because it can be changed into a prime (34475447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341291 + ... + 341391.

It is an arithmetic number, because the mean of its divisors is an integer number (1012928).

Almost surely, 234475441 is an apocalyptic number.

34475441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34475441 is a deficient number, since it is larger than the sum of its proper divisors (14145103).

34475441 is a wasteful number, since it uses less digits than its factorization.

34475441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 34475441 is about 5871.5790891378. The cubic root of 34475441 is about 325.4642391162.

It can be divided in two parts, 3447 and 5441, that added together give a palindrome (8888).

The spelling of 34475441 in words is "thirty-four million, four hundred seventy-five thousand, four hundred forty-one".

Divisors: 1 7 11 13 31 77 91 101 121 143 217 341 403 707 847 1001 1111 1313 1573 2387 2821 3131 3751 4433 7777 9191 11011 12221 14443 21917 26257 31031 34441 40703 48763 85547 101101 158873 241087 284921 341341 378851 447733 1112111 2651957 3134131 4925063 34475441