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213476328 = 233213792887
BaseRepresentation
bin11001011100101…
…10001111101000
3112212200201110200
430232112033220
5414122220303
633103312200
75201342652
oct1456261750
9485621420
10213476328
11aa557a1a
125b5ab660
13352c5270
14204cd6d2
1513b1c3a3
hexcb963e8

213476328 has 96 divisors (see below), whose sum is σ = 630739200. Its totient is φ = 64831104.

The previous prime is 213476297. The next prime is 213476353. The reversal of 213476328 is 823674312.

It is a happy number.

213476328 is a `hidden beast` number, since 2 + 13 + 4 + 7 + 632 + 8 = 666.

213476328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213476292 and 213476301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72501 + ... + 75387.

It is an arithmetic number, because the mean of its divisors is an integer number (6570200).

Almost surely, 2213476328 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 213476328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315369600).

213476328 is an abundant number, since it is smaller than the sum of its proper divisors (417262872).

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

213476328 is a wasteful number, since it uses less digits than its factorization.

213476328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2984 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 213476328 is about 14610.8291345837. The cubic root of 213476328 is about 597.6541065939.

The spelling of 213476328 in words is "two hundred thirteen million, four hundred seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 711 936 948 1027 1422 1896 2054 2844 2887 3081 4108 5688 5774 6162 8216 8661 9243 11548 12324 17322 18486 23096 24648 25983 34644 36972 37531 51966 69288 73944 75062 103932 112593 150124 207864 225186 228073 300248 337779 450372 456146 675558 684219 900744 912292 1351116 1368438 1824584 2052657 2702232 2736876 2964949 4105314 5473752 5929898 8210628 8894847 11859796 16421256 17789694 23719592 26684541 35579388 53369082 71158776 106738164 213476328