Search a number
-
+
3822390 = 235511213
BaseRepresentation
bin1110100101001100110110
321012012100000
432211030312
51434304030
6213532130
744326665
oct16451466
97165300
103822390
112180900
121344046
13a3aa90
14716ddc
15507860
hex3a5336

3822390 has 144 divisors (see below), whose sum is σ = 12199824. Its totient is φ = 855360.

The previous prime is 3822383. The next prime is 3822397. The reversal of 3822390 is 932283.

3822390 = T156 + T157 + ... + T298.

It is an interprime number because it is at equal distance from previous prime (3822383) and next prime (3822397).

It is a super-2 number, since 2×38223902 = 29221330624200, which contains 22 as substring.

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 (3822397) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 294024 + ... + 294036.

It is an arithmetic number, because the mean of its divisors is an integer number (84721).

Almost surely, 23822390 is an apocalyptic number.

3822390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099912).

3822390 is an abundant number, since it is smaller than the sum of its proper divisors (8377434).

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

3822390 is a wasteful number, since it uses less digits than its factorization.

3822390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3822390 is about 1955.0933481550. The cubic root of 3822390 is about 156.3549609434.

It can be divided in two parts, 382 and 2390, that added together give a palindrome (2772).

The spelling of 3822390 in words is "three million, eight hundred twenty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 81 90 99 110 117 121 130 135 143 162 165 195 198 234 242 243 270 286 297 330 351 363 390 405 429 486 495 585 594 605 702 715 726 810 858 891 990 1053 1089 1170 1210 1215 1287 1430 1485 1573 1755 1782 1815 2106 2145 2178 2430 2574 2673 2970 3146 3159 3267 3510 3630 3861 4290 4455 4719 5265 5346 5445 6318 6435 6534 7722 7865 8910 9438 9801 10530 10890 11583 12870 13365 14157 15730 15795 16335 19305 19602 23166 23595 26730 28314 29403 31590 32670 34749 38610 42471 47190 49005 57915 58806 69498 70785 84942 98010 115830 127413 141570 147015 173745 212355 254826 294030 347490 382239 424710 637065 764478 1274130 1911195 3822390