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2380202496 = 29367911
BaseRepresentation
bin1000110111011111…
…0000001000000000
320010212202211000000
42031313300020000
514333312434441
61032104000000
7112661246610
oct21567601000
96125684000
102380202496
111011620401
12565160000
132bc176759
14188188a40
15dde652b6
hex8ddf0200

2380202496 has 280 divisors, whose sum is σ = 8157942144. Its totient is φ = 679311360.

The previous prime is 2380202477. The next prime is 2380202497. The reversal of 2380202496 is 6942020832.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2380202496.

It is not an unprimeable number, because it can be changed into a prime (2380202497) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612281 + ... + 2613191.

Almost surely, 22380202496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078971072).

2380202496 is an abundant number, since it is smaller than the sum of its proper divisors (5777739648).

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

2380202496 is an frugal number, since it uses more digits than its factorization.

2380202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2380202496 is about 48787.3190081193. The cubic root of 2380202496 is about 1335.1743138121.

The spelling of 2380202496 in words is "two billion, three hundred eighty million, two hundred two thousand, four hundred ninety-six".