Search a number
-
+
6427344 = 2437113747
BaseRepresentation
bin11000100001001011010000
3110002112122210
4120201023100
53121133334
6345432120
7105426420
oct30411320
913075583
106427344
11369aa60
12219b640
131440681
14bd4480
1586e5e9
hex6212d0

6427344 has 160 divisors (see below), whose sum is σ = 21712896. Its totient is φ = 1589760.

The previous prime is 6427331. The next prime is 6427349. The reversal of 6427344 is 4437246.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6 + 4 + 217 + 78 + 312 + 4 + 42 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6427349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136729 + ... + 136775.

Almost surely, 26427344 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 6427344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856448).

6427344 is an abundant number, since it is smaller than the sum of its proper divisors (15285552).

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

6427344 is a wasteful number, since it uses less digits than its factorization.

6427344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 6427344 is about 2535.2207004519. The cubic root of 6427344 is about 185.9275935075.

It can be divided in two parts, 6 and 427344, that added together give a triangular number (427350 = T924).

The spelling of 6427344 in words is "six million, four hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 47 48 56 66 74 77 84 88 94 111 112 132 141 148 154 168 176 188 222 231 259 264 282 296 308 329 336 376 407 444 462 517 518 528 564 592 616 658 752 777 814 888 924 987 1034 1036 1128 1221 1232 1316 1551 1554 1628 1739 1776 1848 1974 2068 2072 2256 2442 2632 2849 3102 3108 3256 3478 3619 3696 3948 4136 4144 4884 5217 5264 5698 6204 6216 6512 6956 7238 7896 8272 8547 9768 10434 10857 11396 12173 12408 12432 13912 14476 15792 17094 19129 19536 20868 21714 22792 24346 24816 27824 28952 34188 36519 38258 41736 43428 45584 48692 57387 57904 68376 73038 76516 83472 86856 97384 114774 133903 136752 146076 153032 173712 194768 229548 267806 292152 306064 401709 459096 535612 584304 803418 918192 1071224 1606836 2142448 3213672 6427344