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1434434100 = 22352112318899
BaseRepresentation
bin101010101111111…
…1011101000110100
310200222010210122220
41111133323220310
510414203342400
6354200522340
750355326421
oct12537735064
93628123586
101434434100
11676778630
123404803b0
1319b246a98
14d8716d48
1585de77a0
hex557fba34

1434434100 has 144 divisors (see below), whose sum is σ = 4724697600. Its totient is φ = 332604800.

The previous prime is 1434434083. The next prime is 1434434101. The reversal of 1434434100 is 14344341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434434101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66451 + ... + 85349.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 21434434100 is an apocalyptic number.

1434434100 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 1434434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362348800).

1434434100 is an abundant number, since it is smaller than the sum of its proper divisors (3290263500).

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

1434434100 is a wasteful number, since it uses less digits than its factorization.

1434434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18950 (or 18943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1434434100 is about 37873.9237470849. The cubic root of 1434434100 is about 1127.7864359782.

Adding to 1434434100 its reverse (14344341), we get a palindrome (1448778441).

1434434100 divided by its reverse (14344341) gives a square (100 = 102).

It can be divided in two parts, 1434 and 434100, that added together give a palindrome (435534).

The spelling of 1434434100 in words is "one billion, four hundred thirty-four million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18899 18975 25300 37798 37950 56697 75596 75900 94495 113394 188990 207889 226788 283485 377980 415778 434677 472475 566970 623667 831556 869354 944950 1039445 1133940 1247334 1304031 1417425 1738708 1889900 2078890 2173385 2494668 2608062 2834850 3118335 4157780 4346770 4781447 5197225 5216124 5669700 6236670 6520155 8693540 9562894 10394450 10866925 12473340 13040310 14344341 15591675 19125788 20788900 21733850 23907235 26080620 28688682 31183350 32600775 43467700 47814470 57377364 62366700 65201550 71721705 95628940 119536175 130403100 143443410 239072350 286886820 358608525 478144700 717217050 1434434100