Search a number
-
+
1214325432 = 2335797907
BaseRepresentation
bin100100001100001…
…0010001010111000
310010121222010100000
41020120102022320
54441331403212
6320255113000
742043411245
oct11030221270
93117863300
101214325432
11573500741
1229a812760
1316476ba78
14b73bc5cc
157191a1dc
hex486122b8

1214325432 has 96 divisors (see below), whose sum is σ = 3454214400. Its totient is φ = 399600864.

The previous prime is 1214325421. The next prime is 1214325451. The reversal of 1214325432 is 2345234121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1214325396 and 1214325405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149623 + ... + 157529.

It is an arithmetic number, because the mean of its divisors is an integer number (35981400).

Almost surely, 21214325432 is an apocalyptic number.

1214325432 is a gapful number since it is divisible by the number (12) 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 1214325432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727107200).

1214325432 is an abundant number, since it is smaller than the sum of its proper divisors (2239888968).

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

1214325432 is an equidigital number, since it uses as much as digits as its factorization.

1214325432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 7991 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 1214325432 is about 34847.1725108365. The cubic root of 1214325432 is about 1066.8704760727.

Adding to 1214325432 its reverse (2345234121), we get a palindrome (3559559553).

The spelling of 1214325432 in words is "one billion, two hundred fourteen million, three hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 243 316 324 474 486 632 648 711 948 972 1422 1896 1944 2133 2844 4266 5688 6399 7907 8532 12798 15814 17064 19197 23721 25596 31628 38394 47442 51192 63256 71163 76788 94884 142326 153576 189768 213489 284652 426978 569304 624653 640467 853956 1249306 1280934 1707912 1873959 1921401 2498612 2561868 3747918 3842802 4997224 5123736 5621877 7495836 7685604 11243754 14991672 15371208 16865631 22487508 33731262 44975016 50596893 67462524 101193786 134925048 151790679 202387572 303581358 404775144 607162716 1214325432