Search a number
-
+
1322030412 = 2232192398087
BaseRepresentation
bin100111011001100…
…1001010101001100
310102010122002210100
41032303021111030
510201414433122
6335103411100
744522034033
oct11663112514
93363562710
101322030412
1161928501a
1230a8b3a90
13180b7c621
14c781771a
157b0e2aac
hex4ecc954c

1322030412 has 72 divisors (see below), whose sum is σ = 3532838400. Its totient is φ = 415685088.

The previous prime is 1322030383. The next prime is 1322030447. The reversal of 1322030412 is 2140302231.

1322030412 is a `hidden beast` number, since 1 + 3 + 220 + 30 + 412 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159433 + ... + 167519.

It is an arithmetic number, because the mean of its divisors is an integer number (49067200).

Almost surely, 21322030412 is an apocalyptic number.

1322030412 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 1322030412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766419200).

1322030412 is an abundant number, since it is smaller than the sum of its proper divisors (2210807988).

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

1322030412 is a wasteful number, since it uses less digits than its factorization.

1322030412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8350 counting only the distinct ones).

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

The square root of 1322030412 is about 36359.7361376564. The cubic root of 1322030412 is about 1097.5234676551.

Adding to 1322030412 its reverse (2140302231), we get a palindrome (3462332643).

The spelling of 1322030412 in words is "one billion, three hundred twenty-two million, thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 239 342 478 684 717 956 1434 2151 2868 4302 4541 8087 8604 9082 13623 16174 18164 24261 27246 32348 40869 48522 54492 72783 81738 97044 145566 153653 163476 291132 307306 460959 614612 921918 1382877 1843836 1932793 2765754 3865586 5531508 5798379 7731172 11596758 17395137 23193516 34790274 36723067 69580548 73446134 110169201 146892268 220338402 330507603 440676804 661015206 1322030412