Search a number
-
+
81844340 = 225311011307
BaseRepresentation
bin1001110000011…
…01100001110100
312201000010022212
410320031201310
5131423004330
612042112552
72012444144
oct470154164
9181003285
1081844340
1142220956
12234ab758
1313c57a06
14ac26924
1572ba295
hex4e0d874

81844340 has 48 divisors (see below), whose sum is σ = 179311104. Its totient is φ = 31344000.

The previous prime is 81844337. The next prime is 81844369. The reversal of 81844340 is 4344818.

It is a junction number, because it is equal to n+sod(n) for n = 81844297 and 81844306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61967 + ... + 63273.

It is an arithmetic number, because the mean of its divisors is an integer number (3735648).

Almost surely, 281844340 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 81844340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89655552).

81844340 is an abundant number, since it is smaller than the sum of its proper divisors (97466764).

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

81844340 is a wasteful number, since it uses less digits than its factorization.

81844340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 81844340 is about 9046.7861696848. The cubic root of 81844340 is about 434.1730711971.

The spelling of 81844340 in words is "eighty-one million, eight hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 1307 2020 2614 3131 5228 6262 6535 12524 13070 15655 26140 31310 40517 62620 81034 132007 162068 202585 264014 405170 528028 660035 810340 1320070 2640140 4092217 8184434 16368868 20461085 40922170 81844340