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1323345980 = 2251129316691
BaseRepresentation
bin100111011100000…
…1010100000111100
310102020002221102002
41032320022200330
510202234032410
6335151521432
744536153355
oct11670124074
93366087362
101323345980
11619aa3470
1230b229278
13181220378
14c7a7ad2c
157b2a27a5
hex4ee0a83c

1323345980 has 96 divisors (see below), whose sum is σ = 3237857280. Its totient is φ = 449568000.

The previous prime is 1323345913. The next prime is 1323346039. The reversal of 1323345980 is 895433231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194435 + ... + 201125.

It is an arithmetic number, because the mean of its divisors is an integer number (33727680).

Almost surely, 21323345980 is an apocalyptic number.

1323345980 is a gapful number since it is divisible by the number (10) 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 1323345980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618928640).

1323345980 is an abundant number, since it is smaller than the sum of its proper divisors (1914511300).

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

1323345980 is a wasteful number, since it uses less digits than its factorization.

1323345980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 1323345980 is about 36377.8226396248. The cubic root of 1323345980 is about 1097.8873997978.

The spelling of 1323345980 in words is "one billion, three hundred twenty-three million, three hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 31 44 55 58 62 110 116 124 145 155 220 290 310 319 341 580 620 638 682 899 1276 1364 1595 1705 1798 3190 3410 3596 4495 6380 6691 6820 8990 9889 13382 17980 19778 26764 33455 39556 49445 66910 73601 98890 133820 147202 194039 197780 207421 294404 368005 388078 414842 736010 776156 829684 970195 1037105 1472020 1940390 2074210 2134429 2281631 3880780 4148420 4268858 4563262 6015209 8537716 9126524 10672145 11408155 12030418 21344290 22816310 24060836 30076045 42688580 45632620 60152090 66167299 120304180 132334598 264669196 330836495 661672990 1323345980