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210332340 = 223254092857
BaseRepresentation
bin11001000100101…
…10101010110100
3112122202222201200
430202112222310
5412321113330
632512052500
75132536551
oct1442265264
9478688650
10210332340
11a87aa889
125a534130
133476420a
141dd11a28
15136eaa60
hexc896ab4

210332340 has 72 divisors (see below), whose sum is σ = 639791880. Its totient is φ = 55931904.

The previous prime is 210332329. The next prime is 210332341. The reversal of 210332340 is 43233012.

It can be written as a sum of positive squares in 4 ways, for example, as 77898276 + 132434064 = 8826^2 + 11508^2 .

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 (210332341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72192 + ... + 75048.

Almost surely, 2210332340 is an apocalyptic number.

210332340 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 210332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319895940).

210332340 is an abundant number, since it is smaller than the sum of its proper divisors (429459540).

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

210332340 is a wasteful number, since it uses less digits than its factorization.

210332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3276 counting only the distinct ones).

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

The square root of 210332340 is about 14502.8390324102. The cubic root of 210332340 is about 594.7055860485.

Adding to 210332340 its reverse (43233012), we get a palindrome (253565352).

It can be divided in two parts, 2103 and 32340, that added together give a palindrome (34443).

The spelling of 210332340 in words is "two hundred ten million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 2857 3681 4090 4908 5714 6135 7362 8180 8571 11428 12270 14285 14724 17142 18405 24540 25713 28570 34284 36810 42855 51426 57140 73620 85710 102852 128565 171420 257130 514260 1168513 2337026 3505539 4674052 5842565 7011078 10516617 11685130 14022156 17527695 21033234 23370260 35055390 42066468 52583085 70110780 105166170 210332340