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3030420400 = 245273473119
BaseRepresentation
bin1011010010100000…
…1000101110110000
321211012021022021121
42310220020232300
522201241423100
61220412232024
7135045101620
oct26450105660
97735238247
103030420400
111315658777
12706a6b614
13393aa5987
1420a684880
1512b0a251a
hexb4a08bb0

3030420400 has 120 divisors (see below), whose sum is σ = 8347322880. Its totient is φ = 1035674880.

The previous prime is 3030420389. The next prime is 3030420401. The reversal of 3030420400 is 40240303.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3030420401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 970041 + ... + 973159.

It is an arithmetic number, because the mean of its divisors is an integer number (69561024).

Almost surely, 23030420400 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 3030420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173661440).

3030420400 is an abundant number, since it is smaller than the sum of its proper divisors (5316902480).

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

3030420400 is a wasteful number, since it uses less digits than its factorization.

3030420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3030420400 is about 55049.2543092093. The cubic root of 3030420400 is about 1447.1080528860.

Adding to 3030420400 its reverse (40240303), we get a palindrome (3070660703).

The spelling of 3030420400 in words is "three billion, thirty million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 347 350 400 560 694 700 1388 1400 1735 2429 2776 2800 3119 3470 4858 5552 6238 6940 8675 9716 12145 12476 13880 15595 17350 19432 21833 24290 24952 27760 31190 34700 38864 43666 48580 49904 60725 62380 69400 77975 87332 97160 109165 121450 124760 138800 155950 174664 194320 218330 242900 249520 311900 349328 436660 485800 545825 623800 873320 971600 1082293 1091650 1247600 1746640 2164586 2183300 4329172 4366600 5411465 7576051 8658344 8733200 10822930 15152102 17316688 21645860 27057325 30304204 37880255 43291720 54114650 60608408 75760510 86583440 108229300 121216816 151521020 189401275 216458600 303042040 378802550 432917200 606084080 757605100 1515210200 3030420400