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1320441312 = 25347311941
BaseRepresentation
bin100111010110100…
…0101010111100000
310102000122100221210
41032231011113200
510201013110222
6335005350120
744502365061
oct11655052740
93360570853
101320441312
1161839a113
1230a268340
13180744228
14c7522568
157adcbd0c
hex4eb455e0

1320441312 has 96 divisors (see below), whose sum is σ = 3555062784. Its totient is φ = 428940800.

The previous prime is 1320441257. The next prime is 1320441329. The reversal of 1320441312 is 2131440231.

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

It is a congruent number.

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, 1402762 + ... + 1403702.

It is an arithmetic number, because the mean of its divisors is an integer number (37031904).

Almost surely, 21320441312 is an apocalyptic number.

1320441312 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 1320441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777531392).

1320441312 is an abundant number, since it is smaller than the sum of its proper divisors (2234621472).

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

1320441312 is a wasteful number, since it uses less digits than its factorization.

1320441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1320441312 is about 36337.8770981465. The cubic root of 1320441312 is about 1097.0835448932.

Adding to 1320441312 its reverse (2131440231), we get a palindrome (3451881543).

The spelling of 1320441312 in words is "one billion, three hundred twenty million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 311 376 564 622 752 933 941 1128 1244 1504 1866 1882 2256 2488 2823 3732 3764 4512 4976 5646 7464 7528 9952 11292 14617 14928 15056 22584 29234 29856 30112 43851 44227 45168 58468 87702 88454 90336 116936 132681 175404 176908 233872 265362 292651 350808 353816 467744 530724 585302 701616 707632 877953 1061448 1170604 1403232 1415264 1755906 2122896 2341208 3511812 4245792 4682416 7023624 9364832 13754597 14047248 27509194 28094496 41263791 55018388 82527582 110036776 165055164 220073552 330110328 440147104 660220656 1320441312