Search a number
-
+
330323200 = 285251613
BaseRepresentation
bin10011101100000…
…101010100000000
3212000120011020121
4103230011110000
51134030320300
652435550024
711120462254
oct2354052400
9760504217
10330323200
1115a505789
129275b314
1353586c1c
1431c28264
151deed81a
hex13b05500

330323200 has 54 divisors (see below), whose sum is σ = 817617374. Its totient is φ = 132126720.

The previous prime is 330323159. The next prime is 330323207. The reversal of 330323200 is 2323033.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10342656 + 319980544 = 3216^2 + 17888^2 .

It is a super-2 number, since 2×3303232002 = 218226832916480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330323207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19407 + ... + 32206.

Almost surely, 2330323200 is an apocalyptic number.

It is an amenable number.

330323200 is an abundant number, since it is smaller than the sum of its proper divisors (487294174).

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

330323200 is an equidigital number, since it uses as much as digits as its factorization.

330323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51639 (or 51620 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 330323200 is about 18174.7957347531. The cubic root of 330323200 is about 691.2678502781.

Adding to 330323200 its reverse (2323033), we get a palindrome (332646233).

The spelling of 330323200 in words is "three hundred thirty million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 51613 103226 206452 258065 412904 516130 825808 1032260 1290325 1651616 2064520 2580650 3303232 4129040 5161300 6606464 8258080 10322600 13212928 16516160 20645200 33032320 41290400 66064640 82580800 165161600 330323200