Search a number
-
+
3132214434 = 234414091153
BaseRepresentation
bin1011101010110001…
…1100110010100010
322002021210222110000
42322230130302202
522403321330214
61234450120430
7140422245336
oct27254346242
98067728400
103132214434
111368065078
12734b80116
133abbc6c2b
14219dc17c6
15134ead809
hexbab1cca2

3132214434 has 80 divisors (see below), whose sum is σ = 7213492440. Its totient is φ = 1015234560.

The previous prime is 3132214433. The next prime is 3132214439. The reversal of 3132214434 is 4344122313.

3132214434 is a `hidden beast` number, since 3 + 1 + 3 + 221 + 4 + 434 = 666.

3132214434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2899499409 + 232715025 = 53847^2 + 15255^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3132214398 and 3132214407.

It is not an unprimeable number, because it can be changed into a prime (3132214433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2716002 + ... + 2717154.

Almost surely, 23132214434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132214434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606746220).

3132214434 is an abundant number, since it is smaller than the sum of its proper divisors (4081278006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3132214434 is a wasteful number, since it uses less digits than its factorization.

3132214434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1608 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3132214434 is about 55966.1900972364. The cubic root of 3132214434 is about 1463.1330781856.

Adding to 3132214434 its reverse (4344122313), we get a palindrome (7476336747).

The spelling of 3132214434 in words is "three billion, one hundred thirty-two million, two hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 409 738 818 1107 1153 1227 2214 2306 2454 3321 3459 3681 6642 6918 7362 10377 11043 16769 20754 22086 31131 33129 33538 47273 50307 62262 66258 93393 94546 100614 141819 150921 186786 283638 301842 425457 452763 471577 850914 905526 943154 1276371 1358289 1414731 2552742 2716578 2829462 3829113 4244193 7658226 8488386 12732579 19334657 25465158 38197737 38669314 58003971 76395474 116007942 174011913 348023826 522035739 1044071478 1566107217 3132214434