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2378550240 = 253251131773
BaseRepresentation
bin1000110111000101…
…1100101111100000
320010202122212112100
42031301130233200
514332402101430
61032004330400
7112641225543
oct21561345740
96122585470
102378550240
1110106a2000
125646a3a00
132bba186a1
14187c7885a
15ddc3a960
hex8dc5cbe0

2378550240 has 576 divisors, whose sum is σ = 9582535872. Its totient is φ = 535265280.

The previous prime is 2378550233. The next prime is 2378550241. The reversal of 2378550240 is 420558732.

2378550240 is a `hidden beast` number, since 2 + 37 + 85 + 502 + 40 = 666.

2378550240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2378550195 and 2378550204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378550241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32582844 + ... + 32582916.

It is an arithmetic number, because the mean of its divisors is an integer number (16636347).

Almost surely, 22378550240 is an apocalyptic number.

2378550240 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 2378550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791267936).

2378550240 is an abundant number, since it is smaller than the sum of its proper divisors (7203985632).

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

2378550240 is a wasteful number, since it uses less digits than its factorization.

2378550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2378550240 is about 48770.3828158033. The cubic root of 2378550240 is about 1334.8652980279.

The spelling of 2378550240 in words is "two billion, three hundred seventy-eight million, five hundred fifty thousand, two hundred forty".