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3004142004 = 223283448389
BaseRepresentation
bin1011001100001111…
…1001000110110100
321202100211020002200
42303003321012310
522123030021004
61214033104500
7134305533333
oct26303710664
97670736080
103004142004
11130183a396
126ba0b8130
1338b504926
14206da3d1a
15128b11239
hexb30f91b4

3004142004 has 18 divisors (see below), whose sum is σ = 7593803490. Its totient is φ = 1001380656.

The previous prime is 3004141957. The next prime is 3004142039. The reversal of 3004142004 is 4002414003.

3004142004 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 only one way, i.e., 2550452004 + 453690000 = 50502^2 + 21300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41724159 + ... + 41724230.

Almost surely, 23004142004 is an apocalyptic number.

It is an amenable number.

3004142004 is an abundant number, since it is smaller than the sum of its proper divisors (4589661486).

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

3004142004 is a wasteful number, since it uses less digits than its factorization.

3004142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83448399 (or 83448394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3004142004 is about 54810.0538587584. The cubic root of 3004142004 is about 1442.9130210092.

Adding to 3004142004 its reverse (4002414003), we get a palindrome (7006556007).

The spelling of 3004142004 in words is "three billion, four million, one hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 83448389 166896778 250345167 333793556 500690334 751035501 1001380668 1502071002 3004142004