[go: up one dir, main page]

Search a number
-
+
1430201340 = 223356594019
BaseRepresentation
bin101010100111111…
…0010001111111100
310200200011202102000
41111033302033330
510412112420330
6353530102300
750304340131
oct12517621774
93620152360
101430201340
11674347487
1233ab7a990
1319a3c42a9
14d7d34588
158585d560
hex553f23fc

1430201340 has 96 divisors (see below), whose sum is σ = 4457376000. Its totient is φ = 380713536.

The previous prime is 1430201321. The next prime is 1430201369. The reversal of 1430201340 is 431020341.

1430201340 is a `hidden beast` number, since 1 + 430 + 201 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 353851 + ... + 357869.

It is an arithmetic number, because the mean of its divisors is an integer number (46431000).

Almost surely, 21430201340 is an apocalyptic number.

1430201340 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 1430201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228688000).

1430201340 is an abundant number, since it is smaller than the sum of its proper divisors (3027174660).

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

1430201340 is a wasteful number, since it uses less digits than its factorization.

1430201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1430201340 is about 37818.0028557829. The cubic root of 1430201340 is about 1126.6760439836.

Adding to 1430201340 its reverse (431020341), we get a palindrome (1861221681).

The spelling of 1430201340 in words is "one billion, four hundred thirty million, two hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 659 1318 1977 2636 3295 3954 4019 5931 6590 7908 8038 9885 11862 12057 13180 16076 17793 19770 20095 23724 24114 29655 35586 36171 39540 40190 48228 59310 60285 71172 72342 80380 88965 108513 118620 120570 144684 177930 180855 217026 241140 355860 361710 434052 542565 723420 1085130 2170260 2648521 5297042 7945563 10594084 13242605 15891126 23836689 26485210 31782252 39727815 47673378 52970420 71510067 79455630 95346756 119183445 143020134 158911260 238366890 286040268 357550335 476733780 715100670 1430201340