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1322330880 = 28351326489
BaseRepresentation
bin100111011010001…
…0010101100000000
310102011012100221210
41032310102230000
510202004042010
6335114050120
744524425033
oct11664225400
93364170853
101322330880
1161946a842
1230aa19940
13180c56310
14c789501a
157b151b20
hex4ed12b00

1322330880 has 144 divisors (see below), whose sum is σ = 4548227040. Its totient is φ = 325484544.

The previous prime is 1322330861. The next prime is 1322330903. The reversal of 1322330880 is 880332231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 36676 + ... + 63164.

It is an arithmetic number, because the mean of its divisors is an integer number (31584910).

Almost surely, 21322330880 is an apocalyptic number.

1322330880 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 1322330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274113520).

1322330880 is an abundant number, since it is smaller than the sum of its proper divisors (3225896160).

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

1322330880 is a wasteful number, since it uses less digits than its factorization.

1322330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26526 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1322330880 is about 36363.8677810818. The cubic root of 1322330880 is about 1097.6066088845.

The spelling of 1322330880 in words is "one billion, three hundred twenty-two million, three hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 26489 49920 52978 79467 105956 132445 158934 211912 264890 317868 344357 397335 423824 529780 635736 688714 794670 847648 1033071 1059560 1271472 1377428 1589340 1695296 1721785 2066142 2119120 2542944 2754856 3178680 3390592 3443570 4132284 4238240 5085888 5165355 5509712 6357360 6781184 6887140 8264568 8476480 10171776 10330710 11019424 12714720 13774280 16529136 16952960 20343552 20661420 22038848 25429440 27548560 33058272 33905920 41322840 44077696 50858880 55097120 66116544 82645680 88155392 101717760 110194240 132233088 165291360 220388480 264466176 330582720 440776960 661165440 1322330880