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350023040 = 2752918859
BaseRepresentation
bin10100110111001…
…110110110000000
3220101122000100022
4110313032312000
51204101214130
654422113012
711450101223
oct2467166600
9811560308
10350023040
1116a640544
129927b768
1357693833
14346b55ba
1520ae07e5
hex14dced80

350023040 has 64 divisors (see below), whose sum is σ = 865674000. Its totient is φ = 135174144.

The previous prime is 350023033. The next prime is 350023061. The reversal of 350023040 is 40320053.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3500230402 = 245032257061683200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9131 + ... + 27989.

Almost surely, 2350023040 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 350023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432837000).

350023040 is an abundant number, since it is smaller than the sum of its proper divisors (515650960).

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

350023040 is a wasteful number, since it uses less digits than its factorization.

350023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18907 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 350023040 is about 18708.9026936376. The cubic root of 350023040 is about 704.7453366541.

Adding to 350023040 its reverse (40320053), we get a palindrome (390343093).

The spelling of 350023040 in words is "three hundred fifty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 18859 37718 75436 94295 150872 188590 301744 377180 546911 603488 754360 1093822 1206976 1508720 2187644 2413952 2734555 3017440 4375288 5469110 6034880 8750576 10938220 12069760 17501152 21876440 35002304 43752880 70004608 87505760 175011520 350023040