Search a number
-
+
5362434 = 2327115373
BaseRepresentation
bin10100011101001100000010
3101002102212200
4110131030002
52333044214
6310534030
763402630
oct24351402
911072780
105362434
113032970
121967316
131159a4c
149d8350
1570dd09
hex51d302

5362434 has 96 divisors (see below), whose sum is σ = 14961024. Its totient is φ = 1347840.

The previous prime is 5362433. The next prime is 5362439. The reversal of 5362434 is 4342635.

5362434 is a `hidden beast` number, since 5 + 3 + 624 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5362398 and 5362407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5362433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73422 + ... + 73494.

It is an arithmetic number, because the mean of its divisors is an integer number (155844).

Almost surely, 25362434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5362434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480512).

5362434 is an abundant number, since it is smaller than the sum of its proper divisors (9598590).

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

5362434 is a wasteful number, since it uses less digits than its factorization.

5362434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 149 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 5362434 is about 2315.6929848320. The cubic root of 5362434 is about 175.0332889054.

The spelling of 5362434 in words is "five million, three hundred sixty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 53 63 66 73 77 99 106 126 146 154 159 198 219 231 318 371 438 462 477 511 583 657 693 742 803 954 1022 1113 1166 1314 1386 1533 1606 1749 2226 2409 3066 3339 3498 3869 4081 4599 4818 5247 5621 6678 7227 7738 8162 9198 10494 11242 11607 12243 14454 16863 23214 24486 27083 33726 34821 36729 42559 50589 54166 69642 73458 81249 85118 101178 127677 162498 243747 255354 297913 383031 487494 595826 766062 893739 1787478 2681217 5362434