Search a number
-
+
3414004341 = 3111920872609
BaseRepresentation
bin1100101101111101…
…1001001001110101
322210221001101112020
43023133121021311
523442441114331
61322433543353
7150413362266
oct31337311165
98727041466
103414004341
1114a2130aa0
127b3414b59
134253ba217
142455b496d
1514eac1c96
hexcb7d9275

3414004341 has 32 divisors (see below), whose sum is σ = 5231692800. Its totient is φ = 1958503680.

The previous prime is 3414004339. The next prime is 3414004357. The reversal of 3414004341 is 1434004143.

It is not a de Polignac number, because 3414004341 - 21 = 3414004339 is a prime.

It is a super-3 number, since 3×34140043413 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414002341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1307245 + ... + 1309853.

It is an arithmetic number, because the mean of its divisors is an integer number (163490400).

Almost surely, 23414004341 is an apocalyptic number.

It is an amenable number.

3414004341 is a deficient number, since it is larger than the sum of its proper divisors (1817688459).

3414004341 is a wasteful number, since it uses less digits than its factorization.

3414004341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3414004341 is about 58429.4817793210. The cubic root of 3414004341 is about 1505.7563026186.

Adding to 3414004341 its reverse (1434004143), we get a palindrome (4848008484).

The spelling of 3414004341 in words is "three billion, four hundred fourteen million, four thousand, three hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 2087 2609 6261 7827 22957 28699 39653 49571 68871 86097 118959 148713 436183 545281 1308549 1635843 5444983 16334949 59894813 103454677 179684439 310364031 1138001447 3414004341