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2342145312 = 253213248121
BaseRepresentation
bin1000101110011010…
…0100110100100000
320001020011022100200
42023212210310200
514244042122222
61024224145200
7112016622663
oct21346446440
96036138320
102342145312
11aa2097491
12554468200
132b4310300
141830bd6da
15da948eac
hex8b9a4d20

2342145312 has 108 divisors (see below), whose sum is σ = 7212380994. Its totient is φ = 720645120.

The previous prime is 2342145293. The next prime is 2342145317. The reversal of 2342145312 is 2135412432.

2342145312 is a `hidden beast` number, since 2 + 342 + 1 + 4 + 5 + 312 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1444304016 + 897841296 = 38004^2 + 29964^2 .

It is not an unprimeable number, because it can be changed into a prime (2342145317) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 24612 + ... + 72732.

Almost surely, 22342145312 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 2342145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606190497).

2342145312 is an abundant number, since it is smaller than the sum of its proper divisors (4870235682).

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

2342145312 is a wasteful number, since it uses less digits than its factorization.

2342145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48163 (or 48139 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2342145312 is about 48395.7158434504. The cubic root of 2342145312 is about 1328.0199892961.

Adding to 2342145312 its reverse (2135412432), we get a palindrome (4477557744).

The spelling of 2342145312 in words is "two billion, three hundred forty-two million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48121 48672 96242 144363 192484 288726 384968 433089 577452 625573 769936 866178 1154904 1251146 1539872 1732356 1876719 2309808 2502292 3464712 3753438 4619616 5004584 5630157 6929424 7506876 8132449 10009168 11260314 13858848 15013752 16264898 20018336 22520628 24397347 30027504 32529796 45041256 48794694 60055008 65059592 73192041 90082512 97589388 130119184 146384082 180165024 195178776 260238368 292768164 390357552 585536328 780715104 1171072656 2342145312