Search a number
-
+
5341413324 = 2231324756039
BaseRepresentation
bin1001111100101111…
…10111111111001100
3111210020210220121010
410332113313333030
541414400211244
62242005005220
7246236156412
oct47627677714
914706726533
105341413324
1122a10a7985
1210509b3810
136717c9600
143895752b2
15213de5eb9
hex13e5f7fcc

5341413324 has 72 divisors (see below), whose sum is σ = 13783150080. Its totient is φ = 1608514752.

The previous prime is 5341413313. The next prime is 5341413331. The reversal of 5341413324 is 4233141435.

It is a junction number, because it is equal to n+sod(n) for n = 5341413291 and 5341413300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67297 + ... + 123335.

It is an arithmetic number, because the mean of its divisors is an integer number (191432640).

Almost surely, 25341413324 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 5341413324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891575040).

5341413324 is an abundant number, since it is smaller than the sum of its proper divisors (8441736756).

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

5341413324 is a wasteful number, since it uses less digits than its factorization.

5341413324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56119 (or 56104 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 5341413324 is about 73084.9733118922. The cubic root of 5341413324 is about 1748.0427995288.

Adding to 5341413324 its reverse (4233141435), we get a palindrome (9574554759).

The spelling of 5341413324 in words is "five billion, three hundred forty-one million, four hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 169 188 282 338 507 564 611 676 1014 1222 1833 2028 2444 3666 7332 7943 15886 23829 31772 47658 56039 95316 112078 168117 224156 336234 672468 728507 1457014 2185521 2633833 2914028 4371042 5267666 7901499 8742084 9470591 10535332 15802998 18941182 28411773 31605996 34239829 37882364 56823546 68479658 102719487 113647092 136959316 205438974 410877948 445117777 890235554 1335353331 1780471108 2670706662 5341413324