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350003328 = 2732321723
BaseRepresentation
bin10100110111001…
…010000010000000
3220101121000022020
4110313022002000
51204100101303
654421441440
711446656603
oct2467120200
9811530266
10350003328
1116a627754
1299270280
135768787c
14346ac33a
1520ad9a53
hex14dca080

350003328 has 96 divisors (see below), whose sum is σ = 972439440. Its totient is φ = 111530496.

The previous prime is 350003321. The next prime is 350003341. The reversal of 350003328 is 823300053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3500033282 = 245004659222151168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 350003298 and 350003307.

It is not an unprimeable number, because it can be changed into a prime (350003321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202275 + ... + 203997.

Almost surely, 2350003328 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 350003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486219720).

350003328 is an abundant number, since it is smaller than the sum of its proper divisors (622436112).

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

350003328 is a wasteful number, since it uses less digits than its factorization.

350003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 350003328 is about 18708.3758781996. The cubic root of 350003328 is about 704.7321068575.

The spelling of 350003328 in words is "three hundred fifty million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 529 552 736 1058 1104 1472 1587 1723 2116 2208 2944 3174 3446 4232 4416 5169 6348 6892 8464 8832 10338 12696 13784 16928 20676 25392 27568 33856 39629 41352 50784 55136 67712 79258 82704 101568 110272 118887 158516 165408 203136 220544 237774 317032 330816 475548 634064 661632 911467 951096 1268128 1822934 1902192 2536256 2734401 3645868 3804384 5072512 5468802 7291736 7608768 10937604 14583472 15217536 21875208 29166944 43750416 58333888 87500832 116667776 175001664 350003328