Search a number
-
+
3330133440 = 26353468889
BaseRepresentation
bin1100011001111101…
…1100110111000000
322121002020022021120
43012133130313000
523310003232230
61310240152240
7145344444564
oct30637346700
98532208246
103330133440
1114598565a7
1278b308680
13410c02c7a
142383c16a4
15147556310
hexc67dcdc0

3330133440 has 56 divisors (see below), whose sum is σ = 10573176720. Its totient is φ = 888035328.

The previous prime is 3330133427. The next prime is 3330133463. The reversal of 3330133440 is 443310333.

It is a super-2 number, since 2×33301334402 = 22179577456412467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3330133440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1733485 + ... + 1735404.

Almost surely, 23330133440 is an apocalyptic number.

3330133440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330133440 is an abundant number, since it is smaller than the sum of its proper divisors (7243043280).

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

3330133440 is a wasteful number, since it uses less digits than its factorization.

3330133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468909 (or 3468899 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3330133440 is about 57707.3083759761. The cubic root of 3330133440 is about 1493.3234285766.

Adding to 3330133440 its reverse (443310333), we get a palindrome (3773443773).

The spelling of 3330133440 in words is "three billion, three hundred thirty million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3468889 6937778 10406667 13875556 17344445 20813334 27751112 34688890 41626668 52033335 55502224 69377780 83253336 104066670 111004448 138755560 166506672 208133340 222008896 277511120 333013344 416266680 555022240 666026688 832533360 1110044480 1665066720 3330133440