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1326433920 = 27357223613
BaseRepresentation
bin100111100001111…
…1100011010000000
310102102220211021020
41033003330122000
510204031341140
6335342025440
744604334200
oct11703743200
93372824236
101326433920
11620812489
12310278280
13181a61a56
14c8242400
157b6b26d0
hex4f0fc680

1326433920 has 384 divisors, whose sum is σ = 5140506240. Its totient is φ = 289529856.

The previous prime is 1326433883. The next prime is 1326433939. The reversal of 1326433920 is 293346231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163534 + ... + 2164146.

It is an arithmetic number, because the mean of its divisors is an integer number (13386735).

Almost surely, 21326433920 is an apocalyptic number.

1326433920 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 1326433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570253120).

1326433920 is an abundant number, since it is smaller than the sum of its proper divisors (3814072320).

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

1326433920 is a wasteful number, since it uses less digits than its factorization.

1326433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 1326433920 is about 36420.2405263886. The cubic root of 1326433920 is about 1098.7406855694.

The spelling of 1326433920 in words is "one billion, three hundred twenty-six million, four hundred thirty-three thousand, nine hundred twenty".