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1329484700 = 2252293591277
BaseRepresentation
bin100111100111110…
…0101001110011100
310102122122211011002
41033033211032130
510210322002300
6335531245432
744642301455
oct11717451634
93378584132
101329484700
11622506595
123112a9878
1318258c54b
14c87d812c
157bab65d5
hex4f3e539c

1329484700 has 72 divisors (see below), whose sum is σ = 2995120800. Its totient is φ = 511624960.

The previous prime is 1329484697. The next prime is 1329484763. The reversal of 1329484700 is 74849231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040462 + ... + 1041738.

It is an arithmetic number, because the mean of its divisors is an integer number (41598900).

Almost surely, 21329484700 is an apocalyptic number.

1329484700 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 1329484700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497560400).

1329484700 is an abundant number, since it is smaller than the sum of its proper divisors (1665636100).

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

1329484700 is a wasteful number, since it uses less digits than its factorization.

1329484700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1329484700 is about 36462.0995007144. The cubic root of 1329484700 is about 1099.5824034700.

The spelling of 1329484700 in words is "one billion, three hundred twenty-nine million, four hundred eighty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 359 580 718 725 1277 1436 1450 1795 2554 2900 3590 5108 6385 7180 8975 10411 12770 17950 20822 25540 31925 35900 37033 41644 52055 63850 74066 104110 127700 148132 185165 208220 260275 370330 458443 520550 740660 916886 925825 1041100 1833772 1851650 2292215 3703300 4584430 9168860 11461075 13294847 22922150 26589694 45844300 53179388 66474235 132948470 265896940 332371175 664742350 1329484700