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34040002004 = 2270115537817
BaseRepresentation
bin11111101100111100…
…010011010111010100
310020212022021021020222
4133230330103113110
51024203220031004
623345431213512
72313354146231
oct375474232724
9106768237228
1034040002004
111348876a368
12671bb17298
133296381228
14190cc12788
15d436517be
hex7ecf135d4

34040002004 has 24 divisors (see below), whose sum is σ = 59701031208. Its totient is φ = 16982604800.

The previous prime is 34040001953. The next prime is 34040002049. The reversal of 34040002004 is 40020004043.

It can be written as a sum of positive squares in 4 ways, for example, as 490000 + 34039512004 = 700^2 + 184498^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4350704 + ... + 4358520.

It is an arithmetic number, because the mean of its divisors is an integer number (2487542967).

Almost surely, 234040002004 is an apocalyptic number.

It is an amenable number.

34040002004 is a deficient number, since it is larger than the sum of its proper divisors (25661029204).

34040002004 is a wasteful number, since it uses less digits than its factorization.

34040002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 34040002004 its reverse (40020004043), we get a palindrome (74060006047).

The spelling of 34040002004 in words is "thirty-four billion, forty million, two thousand, four", and thus it is an eban number.

Divisors: 1 2 4 701 1402 1553 2804 3106 6212 7817 15634 31268 1088653 2177306 4354612 5479717 10959434 12139801 21918868 24279602 48559204 8510000501 17020001002 34040002004