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2378999040 = 283511173313
BaseRepresentation
bin1000110111001100…
…1010010100000000
320010210111200011120
42031303022110000
514333010432130
61032022112240
7112645105155
oct21563122400
96123450146
102378999040
111010979210
1256487b680
132bbb44a52
14187d5422c
15ddcc8910
hex8dcca500

2378999040 has 288 divisors, whose sum is σ = 8778865536. Its totient is φ = 542638080.

The previous prime is 2378999033. The next prime is 2378999041. The reversal of 2378999040 is 409998732.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378999041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716424 + ... + 719736.

It is an arithmetic number, because the mean of its divisors is an integer number (30482172).

Almost surely, 22378999040 is an apocalyptic number.

2378999040 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 2378999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389432768).

2378999040 is an abundant number, since it is smaller than the sum of its proper divisors (6399866496).

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

2378999040 is a wasteful number, since it uses less digits than its factorization.

2378999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 2378999040 is about 48774.9837519194. The cubic root of 2378999040 is about 1334.9492497084.

The spelling of 2378999040 in words is "two billion, three hundred seventy-eight million, nine hundred ninety-nine thousand, forty".