Search a number
-
+
1142330432 = 2643443937
BaseRepresentation
bin100010000010110…
…1001010001000000
32221121111101202112
41010011221101000
54314414033212
6305204034452
740210435265
oct10405512100
92847441675
101142330432
115368a7841
1227a692a28
13152882189
14ab9db26c
156a448422
hex44169440

1142330432 has 56 divisors (see below), whose sum is σ = 2327245536. Its totient is φ = 556028928.

The previous prime is 1142330429. The next prime is 1142330507. The reversal of 1142330432 is 2340332411.

It is a junction number, because it is equal to n+sod(n) for n = 1142330398 and 1142330407.

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, 1218668 + ... + 1219604.

It is an arithmetic number, because the mean of its divisors is an integer number (41557956).

Almost surely, 21142330432 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 1142330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163622768).

1142330432 is an abundant number, since it is smaller than the sum of its proper divisors (1184915104).

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

1142330432 is an equidigital number, since it uses as much as digits as its factorization.

1142330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1142330432 is about 33798.3791327336. The cubic root of 1142330432 is about 1045.3552761313.

Adding to 1142330432 its reverse (2340332411), we get a palindrome (3482662843).

The spelling of 1142330432 in words is "one billion, one hundred forty-two million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 443 688 886 937 1376 1772 1874 2752 3544 3748 7088 7496 14176 14992 19049 28352 29984 38098 40291 59968 76196 80582 152392 161164 304784 322328 415091 609568 644656 830182 1219136 1289312 1660364 2578624 3320728 6641456 13282912 17848913 26565824 35697826 71395652 142791304 285582608 571165216 1142330432