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213940352 = 272516659
BaseRepresentation
bin11001100000001…
…11100010000000
3112220120021222202
430300013202000
5414232042402
633121252332
75205314543
oct1460074200
9486507882
10213940352
11aa84460a
125b7940a8
1335428532
14205b085a
1513baeb02
hexcc07880

213940352 has 32 divisors (see below), whose sum is σ = 427971600. Its totient is φ = 106528000.

The previous prime is 213940333. The next prime is 213940369. The reversal of 213940352 is 253049312.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28799 + ... + 35457.

Almost surely, 2213940352 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 213940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213985800).

213940352 is an abundant number, since it is smaller than the sum of its proper divisors (214031248).

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

213940352 is an equidigital number, since it uses as much as digits as its factorization.

213940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 213940352 is about 14626.6999695762. The cubic root of 213940352 is about 598.0868246023.

Adding to 213940352 its reverse (253049312), we get a palindrome (466989664).

The spelling of 213940352 in words is "two hundred thirteen million, nine hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 251 502 1004 2008 4016 6659 8032 13318 16064 26636 32128 53272 106544 213088 426176 852352 1671409 3342818 6685636 13371272 26742544 53485088 106970176 213940352