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41374314 = 2341272011
BaseRepresentation
bin1001110111010…
…1001001101010
32212212000220000
42131311021222
541042434224
64034443430
71011450552
oct235651152
985760800
1041374314
112139a153
1211a33576
138758257
1456d0162
1539740c9
hex277526a

41374314 has 40 divisors (see below), whose sum is σ = 93485568. Its totient is φ = 13676040.

The previous prime is 41374313. The next prime is 41374321. The reversal of 41374314 is 41347314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41374313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19569 + ... + 21579.

Almost surely, 241374314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41374314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46742784).

41374314 is an abundant number, since it is smaller than the sum of its proper divisors (52111254).

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

41374314 is a wasteful number, since it uses less digits than its factorization.

41374314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2143 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 41374314 is about 6432.2868406190. The cubic root of 41374314 is about 345.8679093057.

Subtracting from 41374314 its reverse (41347314), we obtain a cube (27000 = 303).

The spelling of 41374314 in words is "forty-one million, three hundred seventy-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 2011 2286 3429 4022 6033 6858 10287 12066 18099 20574 36198 54297 108594 162891 255397 325782 510794 766191 1532382 2298573 4597146 6895719 13791438 20687157 41374314