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1430343200 = 2552111312503
BaseRepresentation
bin101010101000001…
…0100111000100000
310200200102222000002
41111100110320200
510412131440300
6353533115132
750305500536
oct12520247040
93620388002
101430343200
11674434020
1233b028aa8
1319a443a30
14d7d70156
158588a5d5
hex55414e20

1430343200 has 144 divisors (see below), whose sum is σ = 4102612416. Its totient is φ = 480076800.

The previous prime is 1430343197. The next prime is 1430343227. The reversal of 1430343200 is 23430341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108149 + ... + 120651.

It is an arithmetic number, because the mean of its divisors is an integer number (28490364).

Almost surely, 21430343200 is an apocalyptic number.

1430343200 is a gapful number since it is divisible by the number (10) 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 1430343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051306208).

1430343200 is an abundant number, since it is smaller than the sum of its proper divisors (2672269216).

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

1430343200 is a wasteful number, since it uses less digits than its factorization.

1430343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1430343200 is about 37819.8783710366. The cubic root of 1430343200 is about 1126.7132939789.

Adding to 1430343200 its reverse (23430341), we get a palindrome (1453773541).

The spelling of 1430343200 in words is "one billion, four hundred thirty million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 12503 14300 22880 25006 28600 50012 57200 62515 100024 114400 125030 137533 162539 200048 250060 275066 312575 325078 400096 500120 550132 625150 650156 687665 812695 1000240 1100264 1250300 1300312 1375330 1625390 1787929 2000480 2200528 2500600 2600624 2750660 3250780 3438325 3575858 4063475 4401056 5001200 5201248 5501320 6501560 6876650 7151716 8126950 8939645 10002400 11002640 13003120 13753300 14303432 16253900 17879290 22005280 26006240 27506600 28606864 32507800 35758580 44698225 55013200 57213728 65015600 71517160 89396450 110026400 130031200 143034320 178792900 286068640 357585800 715171600 1430343200