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350196912 = 243313127491
BaseRepresentation
bin10100110111111…
…001010010110000
3220101221211212000
4110313321102300
51204122300122
654425534000
711451424152
oct2467712260
9811854760
10350196912
1116a74a13a
1299344300
1357724a10
143471cad2
1520b270ac
hex14df94b0

350196912 has 160 divisors (see below), whose sum is σ = 1093263360. Its totient is φ = 106686720.

The previous prime is 350196907. The next prime is 350196937. The reversal of 350196912 is 219691053.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 712987 + ... + 713477.

It is an arithmetic number, because the mean of its divisors is an integer number (6832896).

Almost surely, 2350196912 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 350196912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546631680).

350196912 is an abundant number, since it is smaller than the sum of its proper divisors (743066448).

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

350196912 is a wasteful number, since it uses less digits than its factorization.

350196912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 350196912 is about 18713.5488884391. The cubic root of 350196912 is about 704.8620101138.

It can be divided in two parts, 3501969 and 12, that added together give a triangular number (3501981 = T2646).

The spelling of 350196912 in words is "three hundred fifty million, one hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 127 144 156 208 216 234 254 312 351 381 432 468 491 508 624 702 762 936 982 1016 1143 1404 1473 1524 1651 1872 1964 2032 2286 2808 2946 3048 3302 3429 3928 4419 4572 4953 5616 5892 6096 6383 6604 6858 7856 8838 9144 9906 11784 12766 13208 13257 13716 14859 17676 18288 19149 19812 23568 25532 26416 26514 27432 29718 35352 38298 39624 44577 51064 53028 54864 57447 59436 62357 70704 76596 79248 89154 102128 106056 114894 118872 124714 153192 172341 178308 187071 212112 229788 237744 249428 306384 344682 356616 374142 459576 498856 561213 689364 713232 748284 810641 919152 997712 1122426 1378728 1496568 1621282 1683639 2244852 2431923 2757456 2993136 3242564 3367278 4489704 4863846 6485128 6734556 7295769 8979408 9727692 12970256 13469112 14591538 19455384 21887307 26938224 29183076 38910768 43774614 58366152 87549228 116732304 175098456 350196912