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350084448 = 25327211823
BaseRepresentation
bin10100110111011…
…101110101100000
3220101202010120200
4110313131311200
51204110200243
654423305200
711450445240
oct2467356540
9811663520
10350084448
1116a68269a
12992ab200
13576b577c
14346cdb20
1520b03ad3
hex14dddd60

350084448 has 144 divisors (see below), whose sum is σ = 1144555776. Its totient is φ = 99429120.

The previous prime is 350084431. The next prime is 350084453. The reversal of 350084448 is 844480053.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424965 + ... + 425787.

It is an arithmetic number, because the mean of its divisors is an integer number (7948304).

Almost surely, 2350084448 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 350084448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572277888).

350084448 is an abundant number, since it is smaller than the sum of its proper divisors (794471328).

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

350084448 is a wasteful number, since it uses less digits than its factorization.

350084448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 350084448 is about 18710.5437654815. The cubic root of 350084448 is about 704.7865477232.

The spelling of 350084448 in words is "three hundred fifty million, eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 211 224 252 288 336 422 504 633 672 823 844 1008 1266 1477 1646 1688 1899 2016 2469 2532 2954 3292 3376 3798 4431 4938 5064 5761 5908 6584 6752 7407 7596 8862 9876 10128 11522 11816 13168 13293 14814 15192 17283 17724 19752 20256 23044 23632 26336 26586 29628 30384 34566 35448 39504 46088 47264 51849 53172 59256 60768 69132 70896 79008 92176 103698 106344 118512 138264 141792 173653 184352 207396 212688 237024 276528 347306 414792 425376 520959 553056 694612 829584 1041918 1215571 1389224 1562877 1659168 2083836 2431142 2778448 3125754 3646713 4167672 4862284 5556896 6251508 7293426 8335344 9724568 10940139 12503016 14586852 16670688 19449136 21880278 25006032 29173704 38898272 43760556 50012064 58347408 87521112 116694816 175042224 350084448