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4330040 = 2351113757
BaseRepresentation
bin10000100001001000111000
322010222200212
4100201020320
52102030130
6232450252
751543011
oct20411070
98128625
104330040
112498250
121549988
13b87b70
1480a008
155a7e95
hex421238

4330040 has 64 divisors (see below), whose sum is σ = 11460960. Its totient is φ = 1451520.

The previous prime is 4330037. The next prime is 4330097. The reversal of 4330040 is 400334.

4330040 = T235 + T236 + ... + T338.

4330040 = 1922 + 1932 + ... + 2712.

It is a junction number, because it is equal to n+sod(n) for n = 4329997 and 4330024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5342 + ... + 6098.

Almost surely, 24330040 is an apocalyptic number.

4330040 is a gapful number since it is divisible by the number (40) 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 4330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730480).

4330040 is an abundant number, since it is smaller than the sum of its proper divisors (7130920).

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

4330040 is a wasteful number, since it uses less digits than its factorization.

4330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4330040 is about 2080.8748160329. The cubic root of 4330040 is about 162.9911295310.

Adding to 4330040 its reverse (400334), we get a palindrome (4730374).

The spelling of 4330040 in words is "four million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 757 1144 1430 1514 2860 3028 3785 5720 6056 7570 8327 9841 15140 16654 19682 30280 33308 39364 41635 49205 66616 78728 83270 98410 108251 166540 196820 216502 333080 393640 433004 541255 866008 1082510 2165020 4330040