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3038333340 = 223579677481
BaseRepresentation
bin1011010100011001…
…0100100110011100
321211202011022210110
42311012110212130
522210303131330
61221254010020
7135202256460
oct26506244634
97752138713
103038333340
11131a072899
12709646910
133956165a3
1420b7444a0
1512bb16db0
hexb519499c

3038333340 has 96 divisors (see below), whose sum is σ = 9734022144. Its totient is φ = 693665280.

The previous prime is 3038333321. The next prime is 3038333359. The reversal of 3038333340 is 433338303.

It is an interprime number because it is at equal distance from previous prime (3038333321) and next prime (3038333359).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3038333298 and 3038333307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402400 + ... + 409880.

It is an arithmetic number, because the mean of its divisors is an integer number (101396064).

Almost surely, 23038333340 is an apocalyptic number.

3038333340 is a gapful number since it is divisible by the number (30) 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 3038333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867011072).

3038333340 is an abundant number, since it is smaller than the sum of its proper divisors (6695688804).

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

3038333340 is a wasteful number, since it uses less digits than its factorization.

3038333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 3038333340 is about 55121.0789081636. The cubic root of 3038333340 is about 1448.3665061028.

The spelling of 3038333340 in words is "three billion, thirty-eight million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 967 1934 2901 3868 4835 5802 6769 7481 9670 11604 13538 14505 14962 19340 20307 22443 27076 29010 29924 33845 37405 40614 44886 52367 58020 67690 74810 81228 89772 101535 104734 112215 135380 149620 157101 203070 209468 224430 261835 314202 406140 448860 523670 628404 785505 1047340 1571010 3142020 7234127 14468254 21702381 28936508 36170635 43404762 50638889 72341270 86809524 101277778 108511905 144682540 151916667 202555556 217023810 253194445 303833334 434047620 506388890 607666668 759583335 1012777780 1519166670 3038333340