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350050448 = 241171109257
BaseRepresentation
bin10100110111010…
…101100010010000
3220101200101221102
4110313111202100
51204103103243
654422443532
711450244146
oct2467254220
9811611842
10350050448
1116a65a0a0
12992935a8
13576a3157
14346c1596
1520ae89b8
hex14dd5890

350050448 has 80 divisors (see below), whose sum is σ = 760129920. Its totient is φ = 154828800.

The previous prime is 350050447. The next prime is 350050523. The reversal of 350050448 is 844050053.

350050448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3500504482 = 245070632290001408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 350050448.

It is not an unprimeable number, because it can be changed into a prime (350050447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361936 + ... + 1362192.

It is an arithmetic number, because the mean of its divisors is an integer number (9501624).

Almost surely, 2350050448 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 350050448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380064960).

350050448 is an abundant number, since it is smaller than the sum of its proper divisors (410079472).

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

350050448 is a wasteful number, since it uses less digits than its factorization.

350050448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 350050448 is about 18709.6351648021. The cubic root of 350050448 is about 704.7637308300.

The spelling of 350050448 in words is "three hundred fifty million, fifty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 109 142 176 218 257 284 436 514 568 781 872 1028 1136 1199 1562 1744 2056 2398 2827 3124 4112 4796 5654 6248 7739 9592 11308 12496 15478 18247 19184 22616 28013 30956 36494 45232 56026 61912 72988 85129 112052 123824 145976 170258 200717 224104 291952 308143 340516 401434 448208 616286 681032 802868 1232572 1362064 1605736 1988923 2465144 3211472 3977846 4930288 7955692 15911384 21878153 31822768 43756306 87512612 175025224 350050448