Search a number
-
+
41400324 = 22327414007
BaseRepresentation
bin1001110111101…
…1100000000100
32212220100120100
42131323200010
541044302244
64035204100
71011616440
oct235734004
985810510
1041400324
1121407749
1211a46630
138767044
1456d9820
15397bb69
hex277b804

41400324 has 72 divisors (see below), whose sum is σ = 122548608. Its totient is φ = 11537280.

The previous prime is 41400301. The next prime is 41400343. The reversal of 41400324 is 42300414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41400297 and 41400306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8329 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (1702064).

Almost surely, 241400324 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 41400324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61274304).

41400324 is an abundant number, since it is smaller than the sum of its proper divisors (81148284).

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

41400324 is a wasteful number, since it uses less digits than its factorization.

41400324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41400324 is about 6434.3083544387. The cubic root of 41400324 is about 345.9403708484.

Adding to 41400324 its reverse (42300414), we get a palindrome (83700738).

The spelling of 41400324 in words is "forty-one million, four hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 4007 5166 8014 10332 12021 16028 24042 28049 36063 48084 56098 72126 84147 112196 144252 164287 168294 252441 328574 336588 492861 504882 657148 985722 1009764 1150009 1478583 1971444 2300018 2957166 3450027 4600036 5914332 6900054 10350081 13800108 20700162 41400324