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3395361920 = 2755305253
BaseRepresentation
bin1100101001100001…
…0001110010000000
322202121222020221012
43022120101302000
523423203040140
61320530220052
7150066046226
oct31230216200
98677866835
103395361920
111492658735
127a9124628
134215909c2
14242d20b16
1514d13d265
hexca611c80

3395361920 has 32 divisors (see below), whose sum is σ = 8117038620. Its totient is φ = 1358144512.

The previous prime is 3395361919. The next prime is 3395361923. The reversal of 3395361920 is 291635933.

It can be written as a sum of positive squares in 2 ways, for example, as 3088691776 + 306670144 = 55576^2 + 17512^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3395361923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2651987 + ... + 2653266.

Almost surely, 23395361920 is an apocalyptic number.

It is an amenable number.

3395361920 is an abundant number, since it is smaller than the sum of its proper divisors (4721676700).

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

3395361920 is an equidigital number, since it uses as much as digits as its factorization.

3395361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305272 (or 5305260 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 41.

The square root of 3395361920 is about 58269.7341679195. The cubic root of 3395361920 is about 1503.0105344865.

The spelling of 3395361920 in words is "three billion, three hundred ninety-five million, three hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 5305253 10610506 21221012 26526265 42442024 53052530 84884048 106105060 169768096 212210120 339536192 424420240 679072384 848840480 1697680960 3395361920