Search a number
-
+
330029370 = 233511111121
BaseRepresentation
bin10011101010111…
…101100100111010
3212000000020012000
4103222331210322
51133441414440
652425401430
711115126516
oct2352754472
9760006160
10330029370
1115a324a50
1292639276
13534b3268
1431b8d146
151de91730
hex13abd93a

330029370 has 64 divisors (see below), whose sum is σ = 960094080. Its totient is φ = 80006400.

The previous prime is 330029363. The next prime is 330029389. The reversal of 330029370 is 73920033.

330029370 is a `hidden beast` number, since 3 + 300 + 293 + 70 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 52591 + ... + 58530.

It is an arithmetic number, because the mean of its divisors is an integer number (15001470).

Almost surely, 2330029370 is an apocalyptic number.

330029370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330029370 is an abundant number, since it is smaller than the sum of its proper divisors (630064710).

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

330029370 is a wasteful number, since it uses less digits than its factorization.

330029370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111148 (or 111142 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 330029370 is about 18166.7104892438. The cubic root of 330029370 is about 691.0628233152.

The spelling of 330029370 in words is "three hundred thirty million, twenty-nine thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 111121 222242 333363 555605 666726 1000089 1111210 1222331 1666815 2000178 2444662 3000267 3333630 3666993 5000445 6000534 6111655 7333986 10000890 11000979 12223310 15001335 18334965 22001958 30002670 33002937 36669930 55004895 66005874 110009790 165014685 330029370