Search a number
-
+
731362428 = 223241618123
BaseRepresentation
bin101011100101111…
…011010001111100
31212222012001122100
4223211323101330
52444212044203
6200323345100
724060322656
oct5345732174
91788161570
10731362428
11345920465
12184b22190
13b86a0544
146d1bd6d6
1544319ea3
hex2b97b47c

731362428 has 72 divisors (see below), whose sum is σ = 1925095536. Its totient is φ = 233913600.

The previous prime is 731362427. The next prime is 731362439. The reversal of 731362428 is 824263137.

It is a happy number.

731362428 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 624 + 28 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 731362392 and 731362401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731362427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85975 + ... + 94097.

It is an arithmetic number, because the mean of its divisors is an integer number (26737438).

Almost surely, 2731362428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731362428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962547768).

731362428 is an abundant number, since it is smaller than the sum of its proper divisors (1193733108).

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

731362428 is a wasteful number, since it uses less digits than its factorization.

731362428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235 (or 8230 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 731362428 is about 27043.7132805390. The cubic root of 731362428 is about 900.9711443032.

The spelling of 731362428 in words is "seven hundred thirty-one million, three hundred sixty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 61 82 122 123 164 183 244 246 366 369 492 549 732 738 1098 1476 2196 2501 5002 7503 8123 10004 15006 16246 22509 24369 30012 32492 45018 48738 73107 90036 97476 146214 292428 333043 495503 666086 991006 999129 1332172 1486509 1982012 1998258 2973018 2997387 3996516 4459527 5946036 5994774 8919054 11989548 17838108 20315623 40631246 60946869 81262492 121893738 182840607 243787476 365681214 731362428