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1320442368 = 2937127967
BaseRepresentation
bin100111010110100…
…0101101000000000
310102000122102101220
41032231011220000
510201013123433
6335005355040
744502401130
oct11655055000
93360572356
101320442368
1161839a993
1230a268a80
1318074485b
14c7522ac0
157adcc2b3
hex4eb45a00

1320442368 has 160 divisors (see below), whose sum is σ = 4056121344. Its totient is φ = 373911552.

The previous prime is 1320442349. The next prime is 1320442379. The reversal of 1320442368 is 8632440231.

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, 1365021 + ... + 1365987.

Almost surely, 21320442368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028060672).

1320442368 is an abundant number, since it is smaller than the sum of its proper divisors (2735678976).

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

1320442368 is an equidigital number, since it uses as much as digits as its factorization.

1320442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1320442368 is about 36337.8916284366. The cubic root of 1320442368 is about 1097.0838373509.

Adding to 1320442368 its reverse (8632440231), we get a palindrome (9952882599).

The spelling of 1320442368 in words is "one billion, three hundred twenty million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 512 672 762 768 889 896 967 1016 1344 1524 1536 1778 1792 1934 2032 2667 2688 2901 3048 3556 3584 3868 4064 5334 5376 5802 6096 6769 7112 7736 8128 10668 10752 11604 12192 13538 14224 15472 16256 20307 21336 23208 24384 27076 28448 30944 32512 40614 42672 46416 48768 54152 56896 61888 65024 81228 85344 92832 97536 108304 113792 122809 123776 162456 170688 185664 195072 216608 227584 245618 247552 324912 341376 368427 371328 433216 455168 491236 495104 649824 682752 736854 742656 859663 866432 982472 1299648 1365504 1473708 1485312 1719326 1732864 1964944 2578989 2599296 2947416 3438652 3465728 3929888 5157978 5198592 5894832 6877304 7859776 10315956 10397184 11789664 13754608 15719552 20631912 23579328 27509216 31439104 41263824 47158656 55018432 62878208 82527648 94317312 110036864 165055296 188634624 220073728 330110592 440147456 660221184 1320442368