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1428443370 = 233519307907
BaseRepresentation
bin101010100100100…
…0101000011101010
310200112212102221000
41111021011003222
510411140141440
6353424255430
750253365634
oct12511050352
93615772830
101428443370
11673356712
1233a471576
13199c2a083
14d79d7a54
1585612730
hex552450ea

1428443370 has 128 divisors (see below), whose sum is σ = 4027161600. Its totient is φ = 359297856.

The previous prime is 1428443353. The next prime is 1428443407. The reversal of 1428443370 is 733448241.

1428443370 is a `hidden beast` number, since 1 + 4 + 284 + 4 + 3 + 370 = 666.

It is a super-2 number, since 2×14284433702 = 4080900922593913800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1574457 + ... + 1575363.

It is an arithmetic number, because the mean of its divisors is an integer number (31462200).

Almost surely, 21428443370 is an apocalyptic number.

1428443370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428443370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013580800).

1428443370 is an abundant number, since it is smaller than the sum of its proper divisors (2598718230).

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

1428443370 is a wasteful number, since it uses less digits than its factorization.

1428443370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1428443370 is about 37794.7532072906. The cubic root of 1428443370 is about 1126.2142267759.

The spelling of 1428443370 in words is "one billion, four hundred twenty-eight million, four hundred forty-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 307 342 513 570 614 855 907 921 1026 1535 1710 1814 1842 2565 2721 2763 3070 4535 4605 5130 5442 5526 5833 8163 8289 9070 9210 11666 13605 13815 16326 16578 17233 17499 24489 27210 27630 29165 34466 34998 40815 41445 48978 51699 52497 58330 81630 82890 86165 87495 103398 104994 122445 155097 157491 172330 174990 244890 258495 262485 278449 310194 314982 465291 516990 524970 556898 775485 787455 835347 930582 1392245 1550970 1574910 1670694 2326455 2506041 2784490 4176735 4652910 5012082 5290531 7518123 8353470 10581062 12530205 15036246 15871593 25060410 26452655 31743186 37590615 47614779 52905310 75181230 79357965 95229558 142844337 158715930 238073895 285688674 476147790 714221685 1428443370