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3214184080 = 245371085873
BaseRepresentation
bin1011111110010100…
…1000111010010000
322022000001110122211
42333211020322100
523040312342310
61250535041504
7142436054032
oct27745107220
98260043584
103214184080
1113aa361088
12758510294
133c2b96993
14226c3bc52
1513c2a0c8a
hexbf948e90

3214184080 has 40 divisors (see below), whose sum is σ = 7674957432. Its totient is φ = 1250924544.

The previous prime is 3214184041. The next prime is 3214184089. The reversal of 3214184080 is 804814123.

3214184080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1276775824 + 1937408256 = 35732^2 + 44016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3214184089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539977 + ... + 545896.

Almost surely, 23214184080 is an apocalyptic number.

It is an amenable number.

3214184080 is an abundant number, since it is smaller than the sum of its proper divisors (4460773352).

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

3214184080 is a wasteful number, since it uses less digits than its factorization.

3214184080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085923 (or 1085917 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 3214184080 is about 56693.7746141497. The cubic root of 3214184080 is about 1475.7866653086.

The spelling of 3214184080 in words is "three billion, two hundred fourteen million, one hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 1085873 2171746 4343492 5429365 8686984 10858730 17373968 21717460 40177301 43434920 80354602 86869840 160709204 200886505 321418408 401773010 642836816 803546020 1607092040 3214184080