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3214049184 = 253213980287
BaseRepresentation
bin1011111110010010…
…0111111110100000
322021222210121121200
42333210213332200
523040244033214
61250532121200
7142434652533
oct27744477640
98258717550
103214049184
1113aa2797a5
12758466200
133c2b4a468
14226c04a1a
1513c275d09
hexbf927fa0

3214049184 has 72 divisors (see below), whose sum is σ = 9205822080. Its totient is φ = 1063628928.

The previous prime is 3214049173. The next prime is 3214049197. The reversal of 3214049184 is 4819404123.

It is a happy number.

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

It is a super-2 number, since 2×32140491842 = 20660224314342131712, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 80175.

It is an arithmetic number, because the mean of its divisors is an integer number (127858640).

Almost surely, 23214049184 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 3214049184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602911040).

3214049184 is an abundant number, since it is smaller than the sum of its proper divisors (5991772896).

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

3214049184 is a wasteful number, since it uses less digits than its factorization.

3214049184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80442 (or 80431 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3214049184 is about 56692.5849119618. The cubic root of 3214049184 is about 1475.7660192703.

The spelling of 3214049184 in words is "three billion, two hundred fourteen million, forty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 80287 160574 240861 321148 481722 642296 722583 963444 1284592 1445166 1926888 2569184 2890332 3853776 5780664 7707552 11159893 11561328 22319786 23122656 33479679 44639572 66959358 89279144 100439037 133918716 178558288 200878074 267837432 357116576 401756148 535674864 803512296 1071349728 1607024592 3214049184