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353430216 = 23343714741
BaseRepresentation
bin10101000100001…
…110101011001000
3220122001010010000
4111010032223020
51210434231331
655023123000
711521051536
oct2504165310
9818033100
10353430216
11171558397
129a443460
13582b7609
1434d21156
15210650e6
hex1510eac8

353430216 has 80 divisors (see below), whose sum is σ = 1016755740. Its totient is φ = 114618240.

The previous prime is 353430197. The next prime is 353430241. The reversal of 353430216 is 612034353.

It is a happy number.

353430216 is a `hidden beast` number, since 353 + 4 + 302 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260693316 + 92736900 = 16146^2 + 9630^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 353430216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16606 + ... + 31346.

Almost surely, 2353430216 is an apocalyptic number.

353430216 is a gapful number since it is divisible by the number (36) 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 353430216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508377870).

353430216 is an abundant number, since it is smaller than the sum of its proper divisors (663325524).

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

353430216 is a wasteful number, since it uses less digits than its factorization.

353430216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 353430216 is about 18799.7397854332. The cubic root of 353430216 is about 707.0246552530.

Adding to 353430216 its reverse (612034353), we get a palindrome (965464569).

The spelling of 353430216 in words is "three hundred fifty-three million, four hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 14741 23976 29482 44223 58964 88446 117928 132669 176892 265338 353784 398007 530676 545417 796014 1061352 1090834 1194021 1592028 1636251 2181668 2388042 3184056 3272502 4363336 4776084 4908753 6545004 9552168 9817506 13090008 14726259 19635012 29452518 39270024 44178777 58905036 88357554 117810072 176715108 353430216