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1332321312 = 25378323887
BaseRepresentation
bin100111101101001…
…1001110000100000
310102211222221020210
41033122121300200
510212033240222
6340112134120
745005354460
oct11732316040
93384887223
101332321312
116240737a3
12312237340
1318304370a
14c8d35ba0
157be76d0c
hex4f699c20

1332321312 has 96 divisors (see below), whose sum is σ = 4045289472. Its totient is φ = 376061184.

The previous prime is 1332321293. The next prime is 1332321337. The reversal of 1332321312 is 2131232331.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43833 + ... + 67719.

It is an arithmetic number, because the mean of its divisors is an integer number (42138432).

Almost surely, 21332321312 is an apocalyptic number.

1332321312 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 1332321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022644736).

1332321312 is an abundant number, since it is smaller than the sum of its proper divisors (2712968160).

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

1332321312 is a wasteful number, since it uses less digits than its factorization.

1332321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23990 (or 23982 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1332321312 is about 36500.9768636402. The cubic root of 1332321312 is about 1100.3638774131.

Adding to 1332321312 its reverse (2131232331), we get a palindrome (3463553643).

The spelling of 1332321312 in words is "one billion, three hundred thirty-two million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3984 4648 6972 7968 9296 13944 18592 23887 27888 47774 55776 71661 95548 143322 167209 191096 286644 334418 382192 501627 573288 668836 764384 1003254 1146576 1337672 1982621 2006508 2293152 2675344 3965242 4013016 5350688 5947863 7930484 8026032 11895726 13878347 15860968 16052064 23791452 27756694 31721936 41635041 47582904 55513388 63443872 83270082 95165808 111026776 166540164 190331616 222053552 333080328 444107104 666160656 1332321312