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2300061400 = 2352713432939
BaseRepresentation
bin1000100100011000…
…0010011011011000
312221021222020002021
42021012002123120
514202303431100
61020122144224
7110666125240
oct21106023330
95837866067
102300061400
11a8036319a
12542352074
132a86970a0
1417b686b20
15d6dd4a1a
hex891826d8

2300061400 has 192 divisors, whose sum is σ = 6737068800. Its totient is φ = 710760960.

The previous prime is 2300061373. The next prime is 2300061409. The reversal of 2300061400 is 41600032.

It is a super-3 number, since 3×23000614003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300061409) 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, 781131 + ... + 784069.

It is an arithmetic number, because the mean of its divisors is an integer number (35088900).

Almost surely, 22300061400 is an apocalyptic number.

2300061400 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 2300061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368534400).

2300061400 is an abundant number, since it is smaller than the sum of its proper divisors (4437007400).

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

2300061400 is a wasteful number, since it uses less digits than its factorization.

2300061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2300061400 is about 47958.9553681062. The cubic root of 2300061400 is about 1320.0178678328.

Adding to 2300061400 its reverse (41600032), we get a palindrome (2341661432).

The spelling of 2300061400 in words is "two billion, three hundred million, sixty-one thousand, four hundred".