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3034513320 = 2335416110111
BaseRepresentation
bin1011010011011110…
…1111111110101000
321211110222020201020
42310313233332220
522203313411240
61221040052440
7135124636416
oct26467577650
97743866636
103034513320
1113179a3853
12708304120
133948a9917
1420b02c2b6
1512b6100d0
hexb4deffa8

3034513320 has 128 divisors (see below), whose sum is σ = 9479393280. Its totient is φ = 776448000.

The previous prime is 3034513297. The next prime is 3034513343. The reversal of 3034513320 is 233154303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3034513297) and next prime (3034513343).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 295065 + ... + 305175.

It is an arithmetic number, because the mean of its divisors is an integer number (74057760).

Almost surely, 23034513320 is an apocalyptic number.

3034513320 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 3034513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739696640).

3034513320 is an abundant number, since it is smaller than the sum of its proper divisors (6444879960).

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

3034513320 is a wasteful number, since it uses less digits than its factorization.

3034513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3034513320 is about 55086.4168375472. The cubic root of 3034513320 is about 1447.7592532915.

Adding to 3034513320 its reverse (233154303), we get a palindrome (3267667623).

The spelling of 3034513320 in words is "three billion, thirty-four million, five hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 61 82 120 122 123 164 183 205 244 246 305 328 366 410 488 492 610 615 732 820 915 984 1220 1230 1464 1640 1830 2440 2460 2501 3660 4920 5002 7320 7503 10004 10111 12505 15006 20008 20222 25010 30012 30333 37515 40444 50020 50555 60024 60666 75030 80888 100040 101110 121332 150060 151665 202220 242664 300120 303330 404440 414551 606660 616771 829102 1213320 1233542 1243653 1658204 1850313 2072755 2467084 2487306 3083855 3316408 3700626 4145510 4934168 4974612 6167710 6218265 7401252 8291020 9251565 9949224 12335420 12436530 14802504 16582040 18503130 24670840 24873060 25287611 37006260 49746120 50575222 74012520 75862833 101150444 126438055 151725666 202300888 252876110 303451332 379314165 505752220 606902664 758628330 1011504440 1517256660 3034513320