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2368141380 = 22335111920983
BaseRepresentation
bin1000110100100110…
…1111100001000100
320010001002001021000
42031021233201010
514322221011010
61030553253300
7112453604163
oct21511574104
96101061230
102368141380
111005832740
12561104230
132b98129b7
141867293da
15dcd817c0
hex8d26f844

2368141380 has 192 divisors, whose sum is σ = 8460748800. Its totient is φ = 543853440.

The previous prime is 2368141357. The next prime is 2368141381. The reversal of 2368141380 is 831418632.

2368141380 is a `hidden beast` number, since 236 + 8 + 1 + 41 + 380 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2368141381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102369 + ... + 123351.

It is an arithmetic number, because the mean of its divisors is an integer number (44066400).

Almost surely, 22368141380 is an apocalyptic number.

2368141380 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 2368141380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230374400).

2368141380 is an abundant number, since it is smaller than the sum of its proper divisors (6092607420).

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

2368141380 is a wasteful number, since it uses less digits than its factorization.

2368141380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21031 (or 21023 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2368141380 is about 48663.5528912553. The cubic root of 2368141380 is about 1332.9152665677.

It can be divided in two parts, 2368141 and 380, that added together give a square (2368521 = 15392).

The spelling of 2368141380 in words is "two billion, three hundred sixty-eight million, one hundred forty-one thousand, three hundred eighty".