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346102016 = 2813103997
BaseRepresentation
bin10100101000010…
…001100100000000
3220010020210201012
4110220101210000
51202100231031
654202100052
711401550531
oct2450214400
9803223635
10346102016
11168402627
1297aaa628
135691cbc0
1433d74688
15205b8b2b
hex14a11900

346102016 has 36 divisors (see below), whose sum is σ = 744001692. Its totient is φ = 159737856.

The previous prime is 346102013. The next prime is 346102061. The reversal of 346102016 is 610201643.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80281600 + 265820416 = 8960^2 + 16304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 346101982 and 346102000.

It is not an unprimeable number, because it can be changed into a prime (346102013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48671 + ... + 55326.

Almost surely, 2346102016 is an apocalyptic number.

It is an amenable number.

346102016 is an abundant number, since it is smaller than the sum of its proper divisors (397899676).

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

346102016 is a wasteful number, since it uses less digits than its factorization.

346102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104026 (or 104012 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 346102016 is about 18603.8172427059. The cubic root of 346102016 is about 702.1038852976.

Adding to 346102016 its reverse (610201643), we get a palindrome (956303659).

The spelling of 346102016 in words is "three hundred forty-six million, one hundred two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 103997 207994 415988 831976 1351961 1663952 2703922 3327904 5407844 6655808 10815688 13311616 21631376 26623232 43262752 86525504 173051008 346102016