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2369378304 = 21137232
BaseRepresentation
bin1000110100111001…
…1101100000000000
320010010101220000000
42031032131200000
514323030101204
61031040000000
7112500245316
oct21516354000
96103356000
102369378304
1110064a7a97
12561600000
132b9b569c7
1418696c0b6
15dd028039
hex8d39d800

2369378304 has 288 divisors, whose sum is σ = 7427674800. Its totient is φ = 755453952.

The previous prime is 2369378273. The next prime is 2369378311. The reversal of 2369378304 is 4038739632.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×23693783042 = 11227907094931832832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2369378304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103016437 + ... + 103016459.

Almost surely, 22369378304 is an apocalyptic number.

2369378304 is a gapful number since it is divisible by the number (24) 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 2369378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713837400).

2369378304 is an abundant number, since it is smaller than the sum of its proper divisors (5058296496).

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

2369378304 is an frugal number, since it uses more digits than its factorization.

2369378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2369378304 is about 48676.2601685873. The cubic root of 2369378304 is about 1333.1472949324.

The spelling of 2369378304 in words is "two billion, three hundred sixty-nine million, three hundred seventy-eight thousand, three hundred four".