Search a number
-
+
345026616 = 233117317903
BaseRepresentation
bin10100100100001…
…011000000111000
3220001020011112120
4110210023000320
51201311322431
654123041240
711356451334
oct2444130070
9801204476
10345026616
11167838670
1297670220
135663457c
1433b747c4
1520455196
hex1490b038

345026616 has 64 divisors (see below), whose sum is σ = 953925120. Its totient is φ = 103115520.

The previous prime is 345026597. The next prime is 345026623. The reversal of 345026616 is 616620543.

It is a super-2 number, since 2×3450266162 = 238086731496822912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 10321 + ... + 28223.

It is an arithmetic number, because the mean of its divisors is an integer number (14905080).

Almost surely, 2345026616 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 345026616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476962560).

345026616 is an abundant number, since it is smaller than the sum of its proper divisors (608898504).

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

345026616 is a wasteful number, since it uses less digits than its factorization.

345026616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17996 (or 17992 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 345026616 is about 18574.8920858238. The cubic root of 345026616 is about 701.3759439655.

The spelling of 345026616 in words is "three hundred forty-five million, twenty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 17903 19272 35806 53709 71612 107418 143224 196933 214836 393866 429672 590799 787732 1181598 1306919 1575464 2363196 2613838 3920757 4726392 5227676 7841514 10455352 14376109 15683028 28752218 31366056 43128327 57504436 86256654 115008872 172513308 345026616