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21332340 = 22325313823
BaseRepresentation
bin101000101100…
…0000101110100
31111010210110200
41101120011310
520430113330
62041120500
7346215261
oct121300564
944123420
1021332340
1111050337
127189130
13455b9b3
142b94268
151d15a60
hex1458174

21332340 has 72 divisors (see below), whose sum is σ = 66812928. Its totient is φ = 5503680.

The previous prime is 21332329. The next prime is 21332347. The reversal of 21332340 is 4323312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3669 + ... + 7491.

Almost surely, 221332340 is an apocalyptic number.

21332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33406464).

21332340 is an abundant number, since it is smaller than the sum of its proper divisors (45480588).

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

21332340 is a wasteful number, since it uses less digits than its factorization.

21332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 21332340 is about 4618.6946207776. The cubic root of 21332340 is about 277.3402050555.

Adding to 21332340 its reverse (4323312), we get a palindrome (25655652).

Subtracting from 21332340 its reverse (4323312), we obtain a triangular number (17009028 = T5832).

It can be divided in two parts, 2133 and 2340, that multiplied together give a triangular number (4991220 = T3159).

The spelling of 21332340 in words is "twenty-one million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3823 5580 7646 11469 15292 19115 22938 34407 38230 45876 57345 68814 76460 114690 118513 137628 172035 229380 237026 344070 355539 474052 592565 688140 711078 1066617 1185130 1422156 1777695 2133234 2370260 3555390 4266468 5333085 7110780 10666170 21332340