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3701268 = 223343797
BaseRepresentation
bin1110000111101000010100
320222001012000
432013220110
51421420033
6211155300
743313604
oct16075024
96861160
103701268
1120a88aa
1212a5b30
139c78cc
146c4c04
154d1a13
hex387a14

3701268 has 48 divisors (see below), whose sum is σ = 9831360. Its totient is φ = 1203552.

The previous prime is 3701267. The next prime is 3701273. The reversal of 3701268 is 8621073.

3701268 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3701263) 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, 4246 + ... + 5042.

It is an arithmetic number, because the mean of its divisors is an integer number (204820).

Almost surely, 23701268 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 3701268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915680).

3701268 is an abundant number, since it is smaller than the sum of its proper divisors (6130092).

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

3701268 is a wasteful number, since it uses less digits than its factorization.

3701268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

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

The square root of 3701268 is about 1923.8679788385. The cubic root of 3701268 is about 154.6857037441.

It can be divided in two parts, 3701 and 268, that added together give a square (3969 = 632).

The spelling of 3701268 in words is "three million, seven hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 797 1161 1548 1594 2322 2391 3188 4644 4782 7173 9564 14346 21519 28692 34271 43038 68542 86076 102813 137084 205626 308439 411252 616878 925317 1233756 1850634 3701268