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2348153028 = 22321319325997
BaseRepresentation
bin1000101111110101…
…1111100011000100
320001122110112101200
42023331133203010
514302111344103
61025001022500
7112121654124
oct21375374304
96048415350
102348153028
11aa5520141
12556484a30
132b5634980
14183c04c84
15db2340a3
hex8bf5f8c4

2348153028 has 72 divisors (see below), whose sum is σ = 6425561688. Its totient is φ = 718737408.

The previous prime is 2348153023. The next prime is 2348153029. The reversal of 2348153028 is 8203518432.

2348153028 is a `hidden beast` number, since 2 + 348 + 1 + 5 + 302 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65415744 + 2282737284 = 8088^2 + 47778^2 .

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 = 2348152983 and 2348153001.

It is not an unprimeable number, because it can be changed into a prime (2348153023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77326 + ... + 103322.

Almost surely, 22348153028 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 2348153028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212780844).

2348153028 is an abundant number, since it is smaller than the sum of its proper divisors (4077408660).

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

2348153028 is a wasteful number, since it uses less digits than its factorization.

2348153028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26213 (or 26208 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2348153028 is about 48457.7447679935. The cubic root of 2348153028 is about 1329.1544983249.

The spelling of 2348153028 in words is "two billion, three hundred forty-eight million, one hundred fifty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1737 2316 2509 3474 5018 6948 7527 10036 15054 22581 25997 30108 45162 51994 77991 90324 103988 155982 233973 311964 337961 467946 675922 935892 1013883 1351844 2027766 3041649 4055532 5017421 6083298 10034842 12166596 15052263 20069684 30104526 45156789 60209052 65226473 90313578 130452946 180627156 195679419 260905892 391358838 587038257 782717676 1174076514 2348153028