Search a number
-
+
1322130432 = 2103761483
BaseRepresentation
bin100111011001110…
…0001110000000000
310102010211011222210
41032303201300000
510201431133212
6335105502120
744522631450
oct11663416000
93363734883
101322130432
11619343187
1230a941940
13180bb5ccc
14c7841d60
157b11253c
hex4ece1c00

1322130432 has 88 divisors (see below), whose sum is σ = 4027447936. Its totient is φ = 377745408.

The previous prime is 1322130391. The next prime is 1322130449. The reversal of 1322130432 is 2340312231.

It is a super-3 number, since 3×13221304323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1322130399 and 1322130408.

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, 9238 + ... + 52245.

Almost surely, 21322130432 is an apocalyptic number.

1322130432 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 1322130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013723968).

1322130432 is an abundant number, since it is smaller than the sum of its proper divisors (2705317504).

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

1322130432 is an equidigital number, since it uses as much as digits as its factorization.

1322130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61513 (or 61495 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1322130432 is about 36361.1115341652. Note that the first 3 decimals coincide. The cubic root of 1322130432 is about 1097.5511451649.

Adding to 1322130432 its reverse (2340312231), we get a palindrome (3662442663).

The spelling of 1322130432 in words is "one billion, three hundred twenty-two million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 61483 122966 184449 245932 368898 430381 491864 737796 860762 983728 1291143 1475592 1721524 1967456 2582286 2951184 3443048 3934912 5164572 5902368 6886096 7869824 10329144 11804736 13772192 15739648 20658288 23609472 27544384 31479296 41316576 47218944 55088768 62958592 82633152 94437888 110177536 165266304 188875776 220355072 330532608 440710144 661065216 1322130432