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2354640896 = 2111767631
BaseRepresentation
bin1000110001011000…
…1111100000000000
320002002200011002002
42030112033200000
514310242002041
61025352043132
7112231055156
oct21426174000
96062604062
102354640896
11aa9151613
125586934a8
132b6a96a4a
14184a133d6
15dbab659b
hex8c58f800

2354640896 has 48 divisors (see below), whose sum is σ = 4985154720. Its totient is φ = 1108049920.

The previous prime is 2354640889. The next prime is 2354640917. The reversal of 2354640896 is 6980464532.

It is a self number, because there is not a number n which added to its sum of digits gives 2354640896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1001 + ... + 68631.

It is an arithmetic number, because the mean of its divisors is an integer number (103857390).

Almost surely, 22354640896 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 2354640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492577360).

2354640896 is an abundant number, since it is smaller than the sum of its proper divisors (2630513824).

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

2354640896 is an equidigital number, since it uses as much as digits as its factorization.

2354640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67670 (or 67650 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The square root of 2354640896 is about 48524.6421522096. The cubic root of 2354640896 is about 1330.3775090582.

The spelling of 2354640896 in words is "two billion, three hundred fifty-four million, six hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4352 8704 17408 34816 67631 135262 270524 541048 1082096 1149727 2164192 2299454 4328384 4598908 8656768 9197816 17313536 18395632 34627072 36791264 69254144 73582528 138508288 147165056 294330112 588660224 1177320448 2354640896