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1003340030 = 257111968581
BaseRepresentation
bin111011110011011…
…100000011111110
32120220221221202212
4323303130003332
54023323340110
6243321020422
733602151410
oct7363340376
92526857685
101003340030
114753a5240
12240024712
1312cb39534
149737a9b0
155d140e05
hex3bcdc0fe

1003340030 has 64 divisors (see below), whose sum is σ = 2370193920. Its totient is φ = 296265600.

The previous prime is 1003339991. The next prime is 1003340033. The reversal of 1003340030 is 300433001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1003339987 and 1003340014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003340033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19661 + ... + 48920.

It is an arithmetic number, because the mean of its divisors is an integer number (37034280).

Almost surely, 21003340030 is an apocalyptic number.

1003340030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003340030 is an abundant number, since it is smaller than the sum of its proper divisors (1366853890).

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

1003340030 is a wasteful number, since it uses less digits than its factorization.

1003340030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68625.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1003340030 is about 31675.5430892668. The cubic root of 1003340030 is about 1001.1121060949.

Adding to 1003340030 its reverse (300433001), we get a palindrome (1303773031).

The spelling of 1003340030 in words is "one billion, three million, three hundred forty thousand, thirty".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 190 209 266 385 418 665 770 1045 1330 1463 2090 2926 7315 14630 68581 137162 342905 480067 685810 754391 960134 1303039 1508782 2400335 2606078 3771955 4800670 5280737 6515195 7543910 9121273 10561474 13030390 14333429 18242546 26403685 28666858 45606365 52807370 71667145 91212730 100334003 143334290 200668006 501670015 1003340030