Search a number
-
+
21344232 = 23371329337
BaseRepresentation
bin101000101101…
…0111111101000
31111011101210010
41101122333220
520431003412
62041251520
7346265040
oct121327750
944141703
1021344232
1111059268
127193ba0
134564230
142b98720
151d1933c
hex145afe8

21344232 has 128 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 5419008.

The previous prime is 21344209. The next prime is 21344237. The reversal of 21344232 is 23244312.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 21344199 and 21344208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344237) 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, 63168 + ... + 63504.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 221344232 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 21344232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

21344232 is an abundant number, since it is smaller than the sum of its proper divisors (46796568).

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

21344232 is a wasteful number, since it uses less digits than its factorization.

21344232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 21344232 is about 4619.9818181460. The cubic root of 21344232 is about 277.3917311586.

Adding to 21344232 its reverse (23244312), we get a palindrome (44588544).

The spelling of 21344232 in words is "twenty-one million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 52 56 58 78 84 87 91 104 116 156 168 174 182 203 232 273 312 337 348 364 377 406 546 609 674 696 728 754 812 1011 1092 1131 1218 1348 1508 1624 2022 2184 2262 2359 2436 2639 2696 3016 4044 4381 4524 4718 4872 5278 7077 7917 8088 8762 9048 9436 9773 10556 13143 14154 15834 17524 18872 19546 21112 26286 28308 29319 30667 31668 35048 39092 52572 56616 58638 61334 63336 68411 78184 92001 105144 117276 122668 127049 136822 184002 205233 234552 245336 254098 273644 368004 381147 410466 508196 547288 736008 762294 820932 889343 1016392 1524588 1641864 1778686 2668029 3049176 3557372 5336058 7114744 10672116 21344232