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4623474240 = 2632571120849
BaseRepresentation
bin1000100111001010…
…01001111001000000
3102221012212211022200
410103211021321000
533432102133430
62042441033200
7222400611510
oct42345117100
912835784280
104623474240
111a629156a0
12a90485800
13588b48b98
1431c08b840
151c0d7d460
hex113949e40

4623474240 has 336 divisors, whose sum is σ = 19827849600. Its totient is φ = 960675840.

The previous prime is 4623474227. The next prime is 4623474253. The reversal of 4623474240 is 424743264.

4623474240 is a `hidden beast` number, since 4 + 623 + 4 + 7 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4623474227) and next prime (4623474253).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 4623474195 and 4623474204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211336 + ... + 232184.

Almost surely, 24623474240 is an apocalyptic number.

4623474240 is a gapful number since it is divisible by the number (40) 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 4623474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913924800).

4623474240 is an abundant number, since it is smaller than the sum of its proper divisors (15204375360).

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

4623474240 is a wasteful number, since it uses less digits than its factorization.

4623474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20890 (or 20877 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4623474240 is about 67996.1340077508. The cubic root of 4623474240 is about 1665.9276923097.

The spelling of 4623474240 in words is "four billion, six hundred twenty-three million, four hundred seventy-four thousand, two hundred forty".