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41734116 = 2234177577
BaseRepresentation
bin1001111100110…
…0111111100100
32220112022110000
42133030333210
541140442431
64050301300
71014506544
oct237147744
986468400
1041734116
1121615506
1211b87830
138852c58
145785324
1539e59e6
hex27ccfe4

41734116 has 60 divisors (see below), whose sum is σ = 115534188. Its totient is φ = 13091328.

The previous prime is 41734097. The next prime is 41734163. The reversal of 41734116 is 61143714.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12574116 + 29160000 = 3546^2 + 5400^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 41734116.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1720 + ... + 9296.

Almost surely, 241734116 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 41734116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57767094).

41734116 is an abundant number, since it is smaller than the sum of its proper divisors (73800072).

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

41734116 is a wasteful number, since it uses less digits than its factorization.

41734116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7599 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 41734116 is about 6460.1947339070. The cubic root of 41734116 is about 346.8676033485.

The spelling of 41734116 in words is "forty-one million, seven hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 7577 15154 22731 30308 45462 68193 90924 128809 136386 204579 257618 272772 386427 409158 515236 613737 772854 818316 1159281 1227474 1545708 2318562 2454948 3477843 4637124 6955686 10433529 13911372 20867058 41734116