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1332314880 = 28351322053
BaseRepresentation
bin100111101101001…
…1000001100000000
310102211222121102120
41033122120030000
510212033034010
6340112044240
745005326641
oct11732301400
93384877376
101332314880
11624069986
12312233680
13183040800
14c8d336c8
157be74e70
hex4f698300

1332314880 has 216 divisors, whose sum is σ = 4609816848. Its totient is φ = 327794688.

The previous prime is 1332314873. The next prime is 1332314891. The reversal of 1332314880 is 884132331.

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, 647934 + ... + 649986.

Almost surely, 21332314880 is an apocalyptic number.

1332314880 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 1332314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304908424).

1332314880 is an abundant number, since it is smaller than the sum of its proper divisors (3277501968).

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

1332314880 is a wasteful number, since it uses less digits than its factorization.

1332314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1332314880 is about 36500.8887563029. Note that the first 3 decimals coincide. The cubic root of 1332314880 is about 1100.3621066811.

It can be divided in two parts, 13323 and 14880, that added together give a triangular number (28203 = T237).

The spelling of 1332314880 in words is "one billion, three hundred thirty-two million, three hundred fourteen thousand, eight hundred eighty".