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1434433300 = 2252611132081
BaseRepresentation
bin101010101111111…
…1011011100010100
310200222010202120021
41111133323130110
510414203331200
6354200514524
750355324166
oct12537733424
93628122507
101434433300
11676777a73
1234047ba44
1319b246601
14d8716936
1585de741a
hex557fb714

1434433300 has 72 divisors (see below), whose sum is σ = 3193279992. Its totient is φ = 559104000.

The previous prime is 1434433289. The next prime is 1434433303. The reversal of 1434433300 is 33344341.

It can be written as a sum of positive squares in 12 ways, for example, as 1268641924 + 165791376 = 35618^2 + 12876^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434433303) 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 23 ways as a sum of consecutive naturals, for example, 688260 + ... + 690340.

It is an arithmetic number, because the mean of its divisors is an integer number (44351111).

Almost surely, 21434433300 is an apocalyptic number.

1434433300 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 1434433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596639996).

1434433300 is an abundant number, since it is smaller than the sum of its proper divisors (1758846692).

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

1434433300 is a wasteful number, since it uses less digits than its factorization.

1434433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 1434433300 is about 37873.9131857272. The cubic root of 1434433300 is about 1127.7862263184.

Adding to 1434433300 its reverse (33344341), we get a palindrome (1467777641).

The spelling of 1434433300 in words is "one billion, four hundred thirty-four million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 113 122 226 244 305 452 565 610 1130 1220 1525 2081 2260 2825 3050 4162 5650 6100 6893 8324 10405 11300 13786 20810 27572 34465 41620 52025 68930 104050 126941 137860 172325 208100 235153 253882 344650 470306 507764 634705 689300 940612 1175765 1269410 2351530 2538820 3173525 4703060 5878825 6347050 11757650 12694100 14344333 23515300 28688666 57377332 71721665 143443330 286886660 358608325 717216650 1434433300