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2338332480 = 2632511312381
BaseRepresentation
bin1000101101100000…
…0001111101000000
320000221222121010200
42023120001331000
514242103114410
61024010325200
7111642332601
oct21330017500
96027877120
102338332480
11a9aa22890
12553129800
132b35a69b3
141827a9da8
15da4443c0
hex8b601f40

2338332480 has 336 divisors, whose sum is σ = 9060899328. Its totient is φ = 548352000.

The previous prime is 2338332397. The next prime is 2338332487. The reversal of 2338332480 is 842338332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338332487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980890 + ... + 983270.

Almost surely, 22338332480 is an apocalyptic number.

2338332480 is a gapful number since it is divisible by the number (20) 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 2338332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530449664).

2338332480 is an abundant number, since it is smaller than the sum of its proper divisors (6722566848).

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

2338332480 is a wasteful number, since it uses less digits than its factorization.

2338332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2338332480 is about 48356.3075513423. The cubic root of 2338332480 is about 1327.2989598414.

The spelling of 2338332480 in words is "two billion, three hundred thirty-eight million, three hundred thirty-two thousand, four hundred eighty".