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213343240 = 235113115641
BaseRepresentation
bin11001011011101…
…01110000001000
3112212102221220111
430231311300020
5414103440430
633100404104
75200246645
oct1455656010
9485387814
10213343240
11aa476a30
125b546634
1335279806
1420496dcc
1513ae2c2a
hexcb75c08

213343240 has 64 divisors (see below), whose sum is σ = 540587520. Its totient is φ = 75072000.

The previous prime is 213343231. The next prime is 213343241. The reversal of 213343240 is 42343312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (213343241) 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 15 ways as a sum of consecutive naturals, for example, 5820 + ... + 21460.

It is an arithmetic number, because the mean of its divisors is an integer number (8446680).

Almost surely, 2213343240 is an apocalyptic number.

213343240 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 213343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270293760).

213343240 is an abundant number, since it is smaller than the sum of its proper divisors (327244280).

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

213343240 is a wasteful number, since it uses less digits than its factorization.

213343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 213343240 is about 14606.2739944176. The cubic root of 213343240 is about 597.5298818526.

Adding to 213343240 its reverse (42343312), we get a palindrome (255686552).

The spelling of 213343240 in words is "two hundred thirteen million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 15641 31282 62564 78205 125128 156410 172051 312820 344102 484871 625640 688204 860255 969742 1376408 1720510 1939484 2424355 3441020 3878968 4848710 5333581 6882040 9697420 10667162 19394840 21334324 26667905 42668648 53335810 106671620 213343240