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3323054420 = 225753795669
BaseRepresentation
bin1100011000010001…
…1100100101010100
322120120220122200122
43012010130211110
523301200220140
61305424331112
7145230332210
oct30604344524
98516818618
103323054420
111455860a74
12788a73a98
1340c5c4aba
1423749b940
15146b08ab5
hexc611c954

3323054420 has 96 divisors (see below), whose sum is σ = 8230118400. Its totient is φ = 1103491584.

The previous prime is 3323054417. The next prime is 3323054437. The reversal of 3323054420 is 244503233.

It is a super-2 number, since 2×33230544202 = 22085381356563072800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3323054420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583346 + ... + 589014.

It is an arithmetic number, because the mean of its divisors is an integer number (85730400).

Almost surely, 23323054420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323054420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115059200).

3323054420 is an abundant number, since it is smaller than the sum of its proper divisors (4907063980).

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

3323054420 is a wasteful number, since it uses less digits than its factorization.

3323054420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 3323054420 is about 57645.9401866255. The cubic root of 3323054420 is about 1492.2645354844.

Adding to 3323054420 its reverse (244503233), we get a palindrome (3567557653).

The spelling of 3323054420 in words is "three billion, three hundred twenty-three million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 79 106 140 158 212 265 316 371 395 530 553 742 790 1060 1106 1484 1580 1855 2212 2765 3710 4187 5530 5669 7420 8374 11060 11338 16748 20935 22676 28345 29309 39683 41870 56690 58618 79366 83740 113380 117236 146545 158732 198415 293090 300457 396830 447851 586180 600914 793660 895702 1201828 1502285 1791404 2103199 2239255 3004570 3134957 4206398 4478510 6009140 6269914 8412796 8957020 10515995 12539828 15674785 21031990 23736103 31349570 42063980 47472206 62699140 94944412 118680515 166152721 237361030 332305442 474722060 664610884 830763605 1661527210 3323054420