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1434444360 = 2335171096451
BaseRepresentation
bin101010101111111…
…1110001001001000
310200222011022201220
41111133332021020
510414204204420
6354201042040
750355401346
oct12537761110
93628138656
101434444360
11676785308
12340486320
1319b24b65b
14d871a996
1585dea840
hex557fe248

1434444360 has 128 divisors (see below), whose sum is σ = 4598985600. Its totient is φ = 356659200.

The previous prime is 1434444359. The next prime is 1434444397. The reversal of 1434444360 is 634444341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219135 + ... + 225585.

It is an arithmetic number, because the mean of its divisors is an integer number (35929575).

Almost surely, 21434444360 is an apocalyptic number.

1434444360 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 1434444360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299492800).

1434444360 is an abundant number, since it is smaller than the sum of its proper divisors (3164541240).

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

1434444360 is a wasteful number, since it uses less digits than its factorization.

1434444360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 1434444360 is about 37874.0591962361. The cubic root of 1434444360 is about 1127.7891248576.

The spelling of 1434444360 in words is "one billion, four hundred thirty-four million, four hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 109 120 136 170 204 218 255 327 340 408 436 510 545 654 680 872 1020 1090 1308 1635 1853 2040 2180 2616 3270 3706 4360 5559 6451 6540 7412 9265 11118 12902 13080 14824 18530 19353 22236 25804 27795 32255 37060 38706 44472 51608 55590 64510 74120 77412 96765 109667 111180 129020 154824 193530 219334 222360 258040 329001 387060 438668 548335 658002 703159 774120 877336 1096670 1316004 1406318 1645005 2109477 2193340 2632008 2812636 3290010 3515795 4218954 4386680 5625272 6580020 7031590 8437908 10547385 11953703 13160040 14063180 16875816 21094770 23907406 28126360 35861109 42189540 47814812 59768515 71722218 84379080 95629624 119537030 143444436 179305545 239074060 286888872 358611090 478148120 717222180 1434444360