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350148680 = 23573114021
BaseRepresentation
bin10100110111101…
…101100001001000
3220101212101200122
4110313231201020
51204114224210
654424522412
711451133430
oct2467554110
9811771618
10350148680
1116a716982
1299320408
1357708a8b
14347092c0
1520b17b55
hex14ded848

350148680 has 64 divisors (see below), whose sum is σ = 903502080. Its totient is φ = 119635200.

The previous prime is 350148679. The next prime is 350148683. The reversal of 350148680 is 86841053.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 350148680.

It is not an unprimeable number, because it can be changed into a prime (350148683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85070 + ... + 89090.

It is an arithmetic number, because the mean of its divisors is an integer number (14117220).

Almost surely, 2350148680 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 350148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451751040).

350148680 is an abundant number, since it is smaller than the sum of its proper divisors (553353400).

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

350148680 is a wasteful number, since it uses less digits than its factorization.

350148680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 350148680 is about 18712.2601521035. The cubic root of 350148680 is about 704.8296488296.

The spelling of 350148680 in words is "three hundred fifty million, one hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 311 622 1244 1555 2177 2488 3110 4021 4354 6220 8042 8708 10885 12440 16084 17416 20105 21770 28147 32168 40210 43540 56294 80420 87080 112588 140735 160840 225176 281470 562940 1125880 1250531 2501062 5002124 6252655 8753717 10004248 12505310 17507434 25010620 35014868 43768585 50021240 70029736 87537170 175074340 350148680