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3164044320 = 253252197253
BaseRepresentation
bin1011110010010111…
…0111110000100000
322011111201002211200
42330211313300200
522434443404240
61241544241200
7141256635003
oct27445676040
98144632750
103164044320
111384025368
12743770200
133b568ca98
1422030953a
15137b99930
hexbc977c20

3164044320 has 72 divisors (see below), whose sum is σ = 10797306156. Its totient is φ = 843744768.

The previous prime is 3164044313. The next prime is 3164044327. The reversal of 3164044320 is 234404613.

3164044320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3164044313) and next prime (3164044327).

It can be written as a sum of positive squares in 2 ways, for example, as 2977230096 + 186814224 = 54564^2 + 13668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31640443202 = 20022352917848524800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3164044327) 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, 1097187 + ... + 1100066.

Almost surely, 23164044320 is an apocalyptic number.

3164044320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3164044320 is an abundant number, since it is smaller than the sum of its proper divisors (7633261836).

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

3164044320 is a wasteful number, since it uses less digits than its factorization.

3164044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197274 (or 2197263 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3164044320 is about 56249.8383997679. The cubic root of 3164044320 is about 1468.0725536880.

Adding to 3164044320 its reverse (234404613), we get a palindrome (3398448933).

The spelling of 3164044320 in words is "three billion, one hundred sixty-four million, forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2197253 4394506 6591759 8789012 10986265 13183518 17578024 19775277 21972530 26367036 32958795 35156048 39550554 43945060 52734072 65917590 70312096 79101108 87890120 98876385 105468144 131835180 158202216 175780240 197752770 210936288 263670360 316404432 351560480 395505540 527340720 632808864 791011080 1054681440 1582022160 3164044320