Search a number
-
+
3738231 = 34719347
BaseRepresentation
bin1110010000101001110111
321000220220000
432100221313
51424110411
6212042343
743526430
oct16205167
97026800
103738231
112123652
1213033b3
13a0b693
146d4487
154dc956
hex390a77

3738231 has 40 divisors (see below), whose sum is σ = 6737280. Its totient is φ = 2017872.

The previous prime is 3738227. The next prime is 3738233. The reversal of 3738231 is 1328373.

It is not a de Polignac number, because 3738231 - 22 = 3738227 is a prime.

It is a super-2 number, since 2×37382312 = 27948742018722, which contains 22 as substring.

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

3738231 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3738195 and 3738204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10600 + ... + 10946.

It is an arithmetic number, because the mean of its divisors is an integer number (168432).

Almost surely, 23738231 is an apocalyptic number.

3738231 is a deficient number, since it is larger than the sum of its proper divisors (2999049).

3738231 is a wasteful number, since it uses less digits than its factorization.

3738231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3738231 is about 1933.4505424241. The cubic root of 3738231 is about 155.1989259987.

It can be divided in two parts, 3738 and 231, that added together give a square (3969 = 632).

The spelling of 3738231 in words is "three million, seven hundred thirty-eight thousand, two hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 347 399 513 567 1041 1197 1539 2429 3123 3591 6593 7287 9369 10773 19779 21861 28107 46151 59337 65583 138453 178011 196749 415359 534033 1246077 3738231