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3324000030 = 23513192931531
BaseRepresentation
bin1100011000100000…
…0011011100011110
322120122200200211020
43012020003130132
523301421000110
61305500505010
7145241351121
oct30610033436
98518620736
103324000030
11145634746a
1278924b166
1340c866330
142376663b8
15146c43d70
hexc620371e

3324000030 has 128 divisors (see below), whose sum is σ = 9080225280. Its totient is φ = 772001280.

The previous prime is 3324000023. The next prime is 3324000037. The reversal of 3324000030 is 300004233.

It is an interprime number because it is at equal distance from previous prime (3324000023) and next prime (3324000037).

It is a super-2 number, since 2×33240000302 = 22097952398880001800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3323999973 and 3324000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324000037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2170365 + ... + 2171895.

It is an arithmetic number, because the mean of its divisors is an integer number (70939260).

Almost surely, 23324000030 is an apocalyptic number.

3324000030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540112640).

3324000030 is an abundant number, since it is smaller than the sum of its proper divisors (5756225250).

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

3324000030 is a wasteful number, since it uses less digits than its factorization.

3324000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866.

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3324000030 is about 57654.1414817704. The cubic root of 3324000030 is about 1492.4060685703.

Adding to 3324000030 its reverse (300004233), we get a palindrome (3624004263).

The spelling of 3324000030 in words is "three billion, three hundred twenty-four million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 293 390 494 570 586 741 879 1235 1465 1482 1531 1758 2470 2930 3062 3705 3809 4395 4593 5567 7410 7618 7655 8790 9186 11134 11427 15310 16701 19045 19903 22854 22965 27835 29089 33402 38090 39806 45930 55670 57135 58178 59709 72371 83505 87267 99515 114270 119418 144742 145445 167010 174534 199030 217113 290890 298545 361855 378157 434226 436335 448583 597090 723710 756314 872670 897166 1085565 1134471 1345749 1890785 2171130 2242915 2268942 2691498 3781570 4485830 5672355 5831579 6728745 8523077 11344710 11663158 13457490 17046154 17494737 25569231 29157895 34989474 42615385 51138462 58315790 85230770 87473685 110800001 127846155 174947370 221600002 255692310 332400003 554000005 664800006 1108000010 1662000015 3324000030