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1034908900 = 225232172
BaseRepresentation
bin111101101011110…
…111010011100100
32200010100211010021
4331223313103210
54104414041100
6250405404524
734434403054
oct7553672344
92603324107
101034908900
114911a7413
1224a709744
1313654063c
149b637564
1560cc9a1a
hex3daf74e4

1034908900 has 27 divisors (see below), whose sum is σ = 2246450619. Its totient is φ = 413834880.

The previous prime is 1034908883. The next prime is 1034908909. The reversal of 1034908900 is 98094301.

The square root of 1034908900 is 32170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 105390756 + 929518144 = 10266^2 + 30488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1034908909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 320092 + ... + 323308.

Almost surely, 21034908900 is an apocalyptic number.

1034908900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1034908900 is the 32170-th square number.

It is an amenable number.

1034908900 is an abundant number, since it is smaller than the sum of its proper divisors (1211541719).

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

1034908900 is an frugal number, since it uses more digits than its factorization.

1034908900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The cubic root of 1034908900 is about 1011.5034629243.

The spelling of 1034908900 in words is "one billion, thirty-four million, nine hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3217 6434 12868 16085 32170 64340 80425 160850 321700 10349089 20698178 41396356 51745445 103490890 206981780 258727225 517454450 1034908900