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1034132004 = 2232111725717
BaseRepresentation
bin111101101000111…
…001101000100100
32200001220100102100
4331220321220210
54104214211004
6250341012100
734424656053
oct7550715044
92601810370
101034132004
11490816754
1224a3b4030
1313632ab39
149b4b439a
1560bc4739
hex3da39a24

1034132004 has 36 divisors (see below), whose sum is σ = 2616497884. Its totient is φ = 344388672.

The previous prime is 1034131961. The next prime is 1034132009. The reversal of 1034132004 is 4002314301.

1034132004 is a `hidden beast` number, since 1 + 0 + 341 + 320 + 0 + 4 = 666.

1034132004 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 2 ways, for example, as 280629504 + 753502500 = 16752^2 + 27450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1034132009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27354 + ... + 53070.

Almost surely, 21034132004 is an apocalyptic number.

It is an amenable number.

1034132004 is an abundant number, since it is smaller than the sum of its proper divisors (1582365880).

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

1034132004 is a wasteful number, since it uses less digits than its factorization.

1034132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26844 (or 26839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034132004 is about 32157.9228806837. The cubic root of 1034132004 is about 1011.2502909735.

Adding to 1034132004 its reverse (4002314301), we get a palindrome (5036446305).

The spelling of 1034132004 in words is "one billion, thirty-four million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1117 2234 3351 4468 6702 10053 13404 20106 25717 40212 51434 77151 102868 154302 231453 308604 462906 925812 28725889 57451778 86177667 114903556 172355334 258533001 344710668 517066002 1034132004