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350828844 = 2231923149449
BaseRepresentation
bin10100111010010…
…011100100101100
3220110010221200220
4110322103210230
51204303010334
654451251340
711456665422
oct2472234454
9813127626
10350828844
111700409a3
12995a9b50
13578b6542
1434845112
1520bee449
hex14e9392c

350828844 has 96 divisors (see below), whose sum is σ = 907200000. Its totient is φ = 105025536.

The previous prime is 350828827. The next prime is 350828917. The reversal of 350828844 is 448828053.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 350828796 and 350828805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781132 + ... + 781580.

It is an arithmetic number, because the mean of its divisors is an integer number (9450000).

Almost surely, 2350828844 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 350828844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600000).

350828844 is an abundant number, since it is smaller than the sum of its proper divisors (556371156).

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

350828844 is a wasteful number, since it uses less digits than its factorization.

350828844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 350828844 is about 18730.4256224999. The cubic root of 350828844 is about 705.2857309682.

The spelling of 350828844 in words is "three hundred fifty million, eight hundred twenty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 149 228 276 298 437 447 449 596 874 894 898 1311 1347 1748 1788 1796 2622 2694 2831 3427 5244 5388 5662 6854 8493 8531 10281 10327 11324 13708 16986 17062 20562 20654 25593 30981 33972 34124 41124 41308 51186 61962 65113 66901 102372 123924 130226 133802 195339 196213 200703 260452 267604 390678 392426 401406 588639 781356 784852 802812 1177278 1271119 1538723 2354556 2542238 3077446 3813357 4616169 5084476 6154892 7626714 9232338 15253428 18464676 29235737 58471474 87707211 116942948 175414422 350828844