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4584293340 = 22351137347541
BaseRepresentation
bin1000100010011111…
…01100001111011100
3102211111011020020020
410101033230033130
533342034341330
62034521152140
7221413564464
oct42117541734
912744136206
104584293340
111a42794490
12a7b32b650
135809ab113
14316bacba4
151bc6de210
hex1113ec3dc

4584293340 has 192 divisors, whose sum is σ = 14449494528. Its totient is φ = 1076198400.

The previous prime is 4584293327. The next prime is 4584293383. The reversal of 4584293340 is 433924854.

It is a junction number, because it is equal to n+sod(n) for n = 4584293292 and 4584293301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8473470 + ... + 8474010.

It is an arithmetic number, because the mean of its divisors is an integer number (75257784).

Almost surely, 24584293340 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 4584293340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224747264).

4584293340 is an abundant number, since it is smaller than the sum of its proper divisors (9865201188).

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

4584293340 is a wasteful number, since it uses less digits than its factorization.

4584293340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4584293340 is about 67707.4097865219. The cubic root of 4584293340 is about 1661.2084561875.

The spelling of 4584293340 in words is "four billion, five hundred eighty-four million, two hundred ninety-three thousand, three hundred forty".