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350106354 = 233135979107
BaseRepresentation
bin10100110111100…
…011001011110010
3220101210020122000
4110313203023302
51204111400404
654423554430
711450566143
oct2467431362
9811706560
10350106354
1116a6980a4
12992bba16
13576c2730
14346d7aca
1520b0a339
hex14de32f2

350106354 has 128 divisors (see below), whose sum is σ = 870912000. Its totient is φ = 103581504.

The previous prime is 350106353. The next prime is 350106359. The reversal of 350106354 is 453601053.

It is a super-2 number, since 2×3501063542 = 245148918222346632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (350106353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3271969 + ... + 3272075.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2350106354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350106354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

350106354 is an abundant number, since it is smaller than the sum of its proper divisors (520805646).

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

350106354 is a wasteful number, since it uses less digits than its factorization.

350106354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 350106354 is about 18711.1291481834. The cubic root of 350106354 is about 704.8012477308.

The spelling of 350106354 in words is "three hundred fifty million, one hundred six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 79 107 117 118 158 177 214 234 237 321 351 354 474 531 642 702 711 767 963 1027 1062 1391 1422 1534 1593 1926 2054 2133 2301 2782 2889 3081 3186 4173 4266 4602 4661 5778 6162 6313 6903 8346 8453 9243 9322 12519 12626 13806 13983 16906 18486 18939 20709 25038 25359 27729 27966 37557 37878 41418 41949 50718 55458 56817 60593 75114 76077 82069 83898 109889 113634 121186 125847 152154 164138 170451 181779 219778 228231 246207 251694 329667 340902 363558 456462 492414 498727 545337 659334 738621 989001 997454 1090674 1477242 1496181 1636011 1978002 2215863 2967003 2992362 3272022 4431726 4488543 5934006 6483451 8977086 12966902 13465629 19450353 26931258 38900706 58351059 116702118 175053177 350106354