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1031034004 = 2271113257501
BaseRepresentation
bin111101011101000…
…101010010010100
32122212001221202121
4331131011102110
54102421042004
6250150345324
734356434020
oct7535052224
92585057677
101031034004
11489aa0120
1224935b244
131357b49c0
149ad09380
15607b1854
hex3d745494

1031034004 has 48 divisors (see below), whose sum is σ = 2422578816. Its totient is φ = 370800000.

The previous prime is 1031033953. The next prime is 1031034007. The reversal of 1031034004 is 4004301301.

1031034004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10310340042 = 2126062234808544032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031034007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124747 + ... + 132754.

It is an arithmetic number, because the mean of its divisors is an integer number (50470392).

Almost surely, 21031034004 is an apocalyptic number.

1031034004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1031034004 is an abundant number, since it is smaller than the sum of its proper divisors (1391544812).

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

1031034004 is a wasteful number, since it uses less digits than its factorization.

1031034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257536 (or 257534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1031034004 is about 32109.7182173871. The cubic root of 1031034004 is about 1010.2394635289.

Adding to 1031034004 its reverse (4004301301), we get a palindrome (5035335305).

The spelling of 1031034004 in words is "one billion, thirty-one million, thirty-four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 257501 515002 1030004 1802507 2832511 3347513 3605014 5665022 6695026 7210028 11330044 13390052 19827577 23432591 36822643 39655154 46865182 73645286 79310308 93730364 147290572 257758501 515517002 1031034004