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3795444 = 2233113311
BaseRepresentation
bin1110011110100111110100
321010211101000
432132213310
51432423234
6213203300
744155302
oct16364764
97124330
103795444
112162634
121330530
13a2b733
1470b272
154ee899
hex39e9f4

3795444 has 48 divisors (see below), whose sum is σ = 9959040. Its totient is φ = 1249920.

The previous prime is 3795443. The next prime is 3795457. The reversal of 3795444 is 4445973.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3795399 and 3795408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795443) 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, 12049 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 23795444 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 3795444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520).

3795444 is an abundant number, since it is smaller than the sum of its proper divisors (6163596).

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

3795444 is a wasteful number, since it uses less digits than its factorization.

3795444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3795444 is about 1948.1899291394. The cubic root of 3795444 is about 155.9866852541.

It can be divided in two parts, 37 and 95444, that added together give a square (95481 = 3092).

The spelling of 3795444 in words is "three million, seven hundred ninety-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 311 339 452 622 678 933 1017 1244 1356 1866 2034 2799 3051 3732 4068 5598 6102 8397 11196 12204 16794 33588 35143 70286 105429 140572 210858 316287 421716 632574 948861 1265148 1897722 3795444