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4003034004 = 2232111195389
BaseRepresentation
bin1110111010011001…
…0111001110010100
3101022222102012022200
43232212113032110
531144234042004
61501114524500
7201125141034
oct35646271624
911288365280
104003034004
111774676772
12938736730
134ba444698
1429d9038c4
15186674239
hexee997394

4003034004 has 18 divisors (see below), whose sum is σ = 10118780490. Its totient is φ = 1334344656.

The previous prime is 4003033961. The next prime is 4003034017. The reversal of 4003034004 is 4004303004.

It can be written as a sum of positive squares in only one way, i.e., 2474067600 + 1528966404 = 49740^2 + 39102^2 .

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, 55597659 + ... + 55597730.

Almost surely, 24003034004 is an apocalyptic number.

It is an amenable number.

4003034004 is an abundant number, since it is smaller than the sum of its proper divisors (6115746486).

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

4003034004 is a wasteful number, since it uses less digits than its factorization.

4003034004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111195399 (or 111195394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4003034004 is about 63269.5345644331. The cubic root of 4003034004 is about 1587.8022989650.

Adding to 4003034004 its reverse (4004303004), we get a palindrome (8007337008).

The spelling of 4003034004 in words is "four billion, three million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 111195389 222390778 333586167 444781556 667172334 1000758501 1334344668 2001517002 4003034004