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1329469440 = 21135133329
BaseRepresentation
bin100111100111110…
…0001100000000000
310102122122001012220
41033033201200000
510210321010230
6335531051040
744642206125
oct11717414000
93378561186
101329469440
116224a6082
123112a0a80
13182585610
14c87d274c
157bab1d10
hex4f3e1800

1329469440 has 192 divisors, whose sum is σ = 4581813600. Its totient is φ = 327155712.

The previous prime is 1329469429. The next prime is 1329469469. The reversal of 1329469440 is 449649231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1329469392 and 1329469401.

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, 397696 + ... + 401024.

Almost surely, 21329469440 is an apocalyptic number.

1329469440 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 1329469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290906800).

1329469440 is an abundant number, since it is smaller than the sum of its proper divisors (3252344160).

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

1329469440 is a wasteful number, since it uses less digits than its factorization.

1329469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1329469440 is about 36461.8902417305. The cubic root of 1329469440 is about 1099.5781964035.

The spelling of 1329469440 in words is "one billion, three hundred twenty-nine million, four hundred sixty-nine thousand, four hundred forty".