Search a number
-
+
352236420 = 223256729207
BaseRepresentation
bin10100111111101…
…011001110000100
3220112210110112100
4110333223032010
51210133031140
654541352100
711504650224
oct2477531604
9815713470
10352236420
11170912488
1299b68630
1357c8a123
1434ad0084
1520dcb530
hex14feb384

352236420 has 72 divisors (see below), whose sum is σ = 1084434624. Its totient is φ = 92524608.

The previous prime is 352236419. The next prime is 352236449. The reversal of 352236420 is 24632253.

352236420 is a `hidden beast` number, since 3 + 5 + 2 + 236 + 420 = 666.

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, 2544 + ... + 26663.

It is an arithmetic number, because the mean of its divisors is an integer number (15061592).

Almost surely, 2352236420 is an apocalyptic number.

352236420 is a gapful number since it is divisible by the number (30) 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 352236420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542217312).

352236420 is an abundant number, since it is smaller than the sum of its proper divisors (732198204).

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

352236420 is a wasteful number, since it uses less digits than its factorization.

352236420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29289 (or 29284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 352236420 is about 18767.9625958707. The cubic root of 352236420 is about 706.2277083835.

Adding to 352236420 its reverse (24632253), we get a palindrome (376868673).

The spelling of 352236420 in words is "three hundred fifty-two million, two hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 29207 58414 87621 116828 146035 175242 262863 292070 350484 438105 525726 584140 876210 1051452 1314315 1752420 1956869 2628630 3913738 5257260 5870607 7827476 9784345 11741214 17611821 19568690 23482428 29353035 35223642 39137380 58706070 70447284 88059105 117412140 176118210 352236420