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345822848 = 2772397173
BaseRepresentation
bin10100100111001…
…101011010000000
3220002201121202122
4110213031122000
51202012312343
654152103412
711366305610
oct2447153200
9802647678
10345822848
11168231908
1297994b68
1356852b07
1433d00a40
1520561068
hex149cd680

345822848 has 128 divisors (see below), whose sum is σ = 834865920. Its totient is φ = 139493376.

The previous prime is 345822833. The next prime is 345822853. The reversal of 345822848 is 848228543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3458228482 = 239186884397662208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345822799 and 345822808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998890 + ... + 1999062.

It is an arithmetic number, because the mean of its divisors is an integer number (6522390).

Almost surely, 2345822848 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 345822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417432960).

345822848 is an abundant number, since it is smaller than the sum of its proper divisors (489043072).

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

345822848 is a wasteful number, since it uses less digits than its factorization.

345822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its digits is 491520, while the sum is 44.

The square root of 345822848 is about 18596.3127528013. The cubic root of 345822848 is about 701.9150607588.

The spelling of 345822848 in words is "three hundred forty-five million, eight hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 97 112 128 161 173 184 194 224 322 346 368 388 448 644 679 692 736 776 896 1211 1288 1358 1384 1472 1552 2231 2422 2576 2716 2768 2944 3104 3979 4462 4844 5152 5432 5536 6208 7958 8924 9688 10304 10864 11072 12416 15617 15916 16781 17848 19376 20608 21728 22144 27853 31234 31832 33562 35696 38752 43456 55706 62468 63664 67124 71392 77504 86912 111412 117467 124936 127328 134248 142784 155008 222824 234934 249872 254656 268496 285568 385963 445648 469868 499744 509312 536992 771926 891296 939736 999488 1073984 1543852 1782592 1879472 1998976 2147968 2701741 3087704 3565184 3758944 5403482 6175408 7517888 10806964 12350816 15035776 21613928 24701632 43227856 49403264 86455712 172911424 345822848