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4098530340 = 2235517113439
BaseRepresentation
bin1111010001001010…
…1001110000100100
3101120122002220200000
43310102221300210
531343210432330
61514405421300
7203364635022
oct36422516044
911518086600
104098530340
111813571563
1296470a830
1350416c2a8
142ac481712
1518ec39560
hexf44a9c24

4098530340 has 288 divisors, whose sum is σ = 13803229440. Its totient is φ = 1017225216.

The previous prime is 4098530327. The next prime is 4098530351. The reversal of 4098530340 is 430358904.

4098530340 is a `hidden beast` number, since 4 + 0 + 98 + 530 + 34 + 0 = 666.

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 = 4098530295 and 4098530304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9335841 + ... + 9336279.

It is an arithmetic number, because the mean of its divisors is an integer number (47927880).

Almost surely, 24098530340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4098530340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901614720).

4098530340 is an abundant number, since it is smaller than the sum of its proper divisors (9704699100).

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

4098530340 is a wasteful number, since it uses less digits than its factorization.

4098530340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4098530340 is about 64019.7652291853. The cubic root of 4098530340 is about 1600.3294035328.

The spelling of 4098530340 in words is "four billion, ninety-eight million, five hundred thirty thousand, three hundred forty".