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330031240 = 235711831291
BaseRepresentation
bin10011101010111…
…110000010001000
3212000000022202021
4103222332002020
51133441444430
652425414224
711115135130
oct2352760210
9760008667
10330031240
1115a3263a0
129263a374
13534b4076
1431b8dac0
151de9207a
hex13abe088

330031240 has 128 divisors (see below), whose sum is σ = 937681920. Its totient is φ = 101548800.

The previous prime is 330031211. The next prime is 330031249. The reversal of 330031240 is 42130033.

It is not an unprimeable number, because it can be changed into a prime (330031249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254995 + ... + 256285.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2330031240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

330031240 is an abundant number, since it is smaller than the sum of its proper divisors (607650680).

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

330031240 is a wasteful number, since it uses less digits than its factorization.

330031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 330031240 is about 18166.7619569366. The cubic root of 330031240 is about 691.0641285375.

Adding to 330031240 its reverse (42130033), we get a palindrome (372161273).

It can be divided in two parts, 33003 and 1240, that added together give a palindrome (34243).

The spelling of 330031240 in words is "three hundred thirty million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 83 88 110 140 154 166 220 280 308 332 385 415 440 581 616 664 770 830 913 1162 1291 1540 1660 1826 2324 2582 2905 3080 3320 3652 4565 4648 5164 5810 6391 6455 7304 9037 9130 10328 11620 12782 12910 14201 18074 18260 23240 25564 25820 28402 31955 36148 36520 45185 51128 51640 56804 63910 71005 72296 90370 99407 107153 113608 127820 142010 180740 198814 214306 255640 284020 361480 397628 428612 497035 535765 568040 750071 795256 857224 994070 1071530 1178683 1500142 1988140 2143060 2357366 3000284 3750355 3976280 4286120 4714732 5893415 6000568 7500710 8250781 9429464 11786830 15001420 16501562 23573660 30002840 33003124 41253905 47147320 66006248 82507810 165015620 330031240