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213304344 = 233113312441
BaseRepresentation
bin11001011011011…
…00010000011000
3112212100222112220
430231230100120
5414101214334
633055504040
75200025361
oct1455542030
9485328486
10213304344
11aa44a790
125b528020
1335264bb6
1420486b68
1513ad6449
hexcb6c418

213304344 has 64 divisors (see below), whose sum is σ = 583735680. Its totient is φ = 64416000.

The previous prime is 213304307. The next prime is 213304361. The reversal of 213304344 is 443403312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86164 + ... + 88604.

It is an arithmetic number, because the mean of its divisors is an integer number (9120870).

Almost surely, 2213304344 is an apocalyptic number.

213304344 is a gapful number since it is divisible by the number (24) 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 213304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291867840).

213304344 is an abundant number, since it is smaller than the sum of its proper divisors (370431336).

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

213304344 is a wasteful number, since it uses less digits than its factorization.

213304344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 213304344 is about 14604.9424511020. The cubic root of 213304344 is about 597.4935664533.

Adding to 213304344 its reverse (443403312), we get a palindrome (656707656).

The spelling of 213304344 in words is "two hundred thirteen million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 993 1324 1986 2441 2648 3641 3972 4882 7282 7323 7944 9764 10923 14564 14646 19528 21846 26851 29128 29292 43692 53702 58584 80553 87384 107404 161106 214808 322212 644424 807971 1615942 2423913 3231884 4847826 6463768 8887681 9695652 17775362 19391304 26663043 35550724 53326086 71101448 106652172 213304344