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1434288384 = 28342632
BaseRepresentation
bin101010101111101…
…1000000100000000
310200221212101210000
41111133120010000
510414134212014
6354153440000
750354151534
oct12537300400
93627771700
101434288384
11676689101
12340410000
1319b1c5669
14d86b9bc4
1585db9509
hex557d8100

1434288384 has 135 divisors (see below), whose sum is σ = 4293111823. Its totient is φ = 476278272.

The previous prime is 1434288341. The next prime is 1434288391. The reversal of 1434288384 is 4838824341.

It is a happy number.

The square root of 1434288384 is 37872.

It is a perfect power (a square), and thus also a powerful number.

1434288384 is a `hidden beast` number, since 143 + 428 + 8 + 3 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5453437 + ... + 5453699.

Almost surely, 21434288384 is an apocalyptic number.

1434288384 is the 37872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434288384

1434288384 is an abundant number, since it is smaller than the sum of its proper divisors (2858823439).

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

1434288384 is an frugal number, since it uses more digits than its factorization.

1434288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 268 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The cubic root of 1434288384 is about 1127.7482462155.

Multiplying 1434288384 by its product of digits (589824), we get a square (845977711804416 = 290856962).

The spelling of 1434288384 in words is "one billion, four hundred thirty-four million, two hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 263 288 324 384 432 526 576 648 768 789 864 1052 1152 1296 1578 1728 2104 2304 2367 2592 3156 3456 4208 4734 5184 6312 6912 7101 8416 9468 10368 12624 14202 16832 18936 20736 21303 25248 28404 33664 37872 42606 50496 56808 67328 69169 75744 85212 100992 113616 138338 151488 170424 201984 207507 227232 276676 302976 340848 415014 454464 553352 605952 622521 681696 830028 908928 1106704 1245042 1363392 1660056 1817856 1867563 2213408 2490084 2726784 3320112 3735126 4426816 4980168 5453568 5602689 6640224 7470252 8853632 9960336 11205378 13280448 14940504 17707264 19920672 22410756 26560896 29881008 39841344 44821512 53121792 59762016 79682688 89643024 119524032 159365376 179286048 239048064 358572096 478096128 717144192 1434288384