Search a number
-
+
2143304032 = 253710117923
BaseRepresentation
bin111111111000000…
…0011100101100000
312112101000010101211
41333300003211200
513342141212112
6552402235504
7104053532542
oct17760034540
95471003354
102143304032
119aa926051
124b9955b94
1328207054c
1416491d692
15c826d0a7
hex7fc03960

2143304032 has 48 divisors (see below), whose sum is σ = 4376825712. Its totient is φ = 1032307200.

The previous prime is 2143303993. The next prime is 2143304077. The reversal of 2143304032 is 2304033412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2143303994 and 2143304012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110623 + ... + 128545.

It is an arithmetic number, because the mean of its divisors is an integer number (91183869).

Almost surely, 22143304032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188412856).

2143304032 is an abundant number, since it is smaller than the sum of its proper divisors (2233521680).

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

2143304032 is a wasteful number, since it uses less digits than its factorization.

2143304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18071 (or 18063 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2143304032 is about 46295.8316914169. The cubic root of 2143304032 is about 1289.3216055254.

Adding to 2143304032 its reverse (2304033412), we get a palindrome (4447337444).

The spelling of 2143304032 in words is "two billion, one hundred forty-three million, three hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 101 148 202 296 404 592 808 1184 1616 3232 3737 7474 14948 17923 29896 35846 59792 71692 119584 143384 286768 573536 663151 1326302 1810223 2652604 3620446 5305208 7240892 10610416 14481784 21220832 28963568 57927136 66978251 133956502 267913004 535826008 1071652016 2143304032