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1042834640 = 24537352309
BaseRepresentation
bin111110001010000…
…110010011010000
32200200021111012012
4332022012103100
54113431202030
6251251322052
734561643141
oct7612062320
92620244165
101042834640
11495720111
122512b0328
13138087023
149c6dbac8
1561843095
hex3e2864d0

1042834640 has 40 divisors (see below), whose sum is σ = 2490127080. Its totient is φ = 405858816.

The previous prime is 1042834613. The next prime is 1042834643. The reversal of 1042834640 is 464382401.

It can be written as a sum of positive squares in 4 ways, for example, as 445716544 + 597118096 = 21112^2 + 24436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1042834597 and 1042834606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042834643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173195 + ... + 179114.

It is an arithmetic number, because the mean of its divisors is an integer number (62253177).

Almost surely, 21042834640 is an apocalyptic number.

1042834640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042834640 is an abundant number, since it is smaller than the sum of its proper divisors (1447292440).

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

1042834640 is a wasteful number, since it uses less digits than its factorization.

1042834640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352359 (or 352353 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 1042834640 is about 32292.9503142714. The cubic root of 1042834640 is about 1014.0790630658.

The spelling of 1042834640 in words is "one billion, forty-two million, eight hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 352309 704618 1409236 1761545 2818472 3523090 5636944 7046180 13035433 14092360 26070866 28184720 52141732 65177165 104283464 130354330 208566928 260708660 521417320 1042834640