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1332240000 = 2735471361
BaseRepresentation
bin100111101101000…
…0101111010000000
310102211211210201020
41033122011322000
510212023140000
6340110305440
745004565430
oct11732057200
93384753636
101332240000
116240186a3
123121b8280
131830156c0
14c8d142c0
157be5cba0
hex4f685e80

1332240000 has 640 divisors, whose sum is σ = 5531729280. Its totient is φ = 276480000.

The previous prime is 1332239989. The next prime is 1332240011. The reversal of 1332240000 is 422331.

It is an interprime number because it is at equal distance from previous prime (1332239989) and next prime (1332240011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21839970 + ... + 21840030.

It is an arithmetic number, because the mean of its divisors is an integer number (8643327).

Almost surely, 21332240000 is an apocalyptic number.

1332240000 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 1332240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765864640).

1332240000 is an abundant number, since it is smaller than the sum of its proper divisors (4199489280).

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

1332240000 is an equidigital number, since it uses as much as digits as its factorization.

1332240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1332240000 is about 36499.8630134416. The cubic root of 1332240000 is about 1100.3414917701.

Adding to 1332240000 its reverse (422331), we get a palindrome (1332662331).

The spelling of 1332240000 in words is "one billion, three hundred thirty-two million, two hundred forty thousand".