Search a number
-
+
41340432 = 2437612017
BaseRepresentation
bin1001110110110…
…0111000010000
32212210022102010
42131230320100
541040343212
64034022520
71011250020
oct235547020
985708363
1041340432
1121376751
1211a17a40
1387459c3
1456c1a80
15396903c
hex276ce10

41340432 has 80 divisors (see below), whose sum is σ = 124115072. Its totient is φ = 11612160.

The previous prime is 41340427. The next prime is 41340437. The reversal of 41340432 is 23404314.

It is an interprime number because it is at equal distance from previous prime (41340427) and next prime (41340437).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 41340399 and 41340408.

It is not an unprimeable number, because it can be changed into a prime (41340437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19488 + ... + 21504.

Almost surely, 241340432 is an apocalyptic number.

41340432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62057536).

41340432 is an abundant number, since it is smaller than the sum of its proper divisors (82774640).

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

41340432 is a wasteful number, since it uses less digits than its factorization.

41340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 41340432 is about 6429.6525567094. The cubic root of 41340432 is about 345.7734715117.

Adding to 41340432 its reverse (23404314), we get a palindrome (64744746).

The spelling of 41340432 in words is "forty-one million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2017 2562 2928 3416 4034 5124 6051 6832 8068 10248 12102 14119 16136 20496 24204 28238 32272 42357 48408 56476 84714 96816 112952 123037 169428 225904 246074 338856 369111 492148 677712 738222 861259 984296 1476444 1722518 1968592 2583777 2952888 3445036 5167554 5905776 6890072 10335108 13780144 20670216 41340432