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3334102144 = 27137190129
BaseRepresentation
bin1100011010111010…
…0101110010000000
322121100200221022121
43012232211302000
523312012232034
61310501214024
7145423254262
oct30656456200
98540627277
103334102144
11146101731a
12790701314
13411992509
14238b35b32
15147a8c1b4
hexc6ba5c80

3334102144 has 32 divisors (see below), whose sum is σ = 6690674700. Its totient is φ = 1654874112.

The previous prime is 3334102141. The next prime is 3334102147. The reversal of 3334102144 is 4412014333.

It is an interprime number because it is at equal distance from previous prime (3334102141) and next prime (3334102147).

It can be written as a sum of positive squares in 2 ways, for example, as 3145863744 + 188238400 = 56088^2 + 13720^2 .

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

It is a super-2 number, since 2×33341021442 = 22232474213250793472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3334102141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77529 + ... + 112600.

Almost surely, 23334102144 is an apocalyptic number.

It is an amenable number.

3334102144 is an abundant number, since it is smaller than the sum of its proper divisors (3356572556).

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

3334102144 is a wasteful number, since it uses less digits than its factorization.

3334102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190280 (or 190268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3334102144 is about 57741.6846307761. The cubic root of 3334102144 is about 1493.9164184165.

Adding to 3334102144 its reverse (4412014333), we get a palindrome (7746116477).

The spelling of 3334102144 in words is "three billion, three hundred thirty-four million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 190129 380258 760516 1521032 3042064 6084128 12168256 24336512 26047673 52095346 104190692 208381384 416762768 833525536 1667051072 3334102144