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1329705804 = 22371973101113
BaseRepresentation
bin100111101000001…
…1011001101001100
310102200002001110010
41033100123031030
510210401041204
6335540113220
744644212210
oct11720331514
93380061403
101329705804
11622647719
12311395810
1318263908b
14c8854940
157bb0bd89
hex4f41b34c

1329705804 has 192 divisors, whose sum is σ = 3854914560. Its totient is φ = 348364800.

The previous prime is 1329705787. The next prime is 1329705827. The reversal of 1329705804 is 4085079231.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11767252 + ... + 11767364.

It is an arithmetic number, because the mean of its divisors is an integer number (20077680).

Almost surely, 21329705804 is an apocalyptic number.

1329705804 is a gapful number since it is divisible by the number (14) 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 1329705804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927457280).

1329705804 is an abundant number, since it is smaller than the sum of its proper divisors (2525208756).

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

1329705804 is a wasteful number, since it uses less digits than its factorization.

1329705804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1329705804 is about 36465.1313448889. The cubic root of 1329705804 is about 1099.6433565574.

The spelling of 1329705804 in words is "one billion, three hundred twenty-nine million, seven hundred five thousand, eight hundred four".