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1034986680 = 2333571310531
BaseRepresentation
bin111101101100001…
…010010010111000
32200010111202211000
4331230022102320
54104424033210
6250411205000
734435145610
oct7554122270
92603452730
101034986680
1149124a8a2
1224a746760
13136569b70
149b657a40
1560ce2ac0
hex3db0a4b8

1034986680 has 256 divisors, whose sum is σ = 4246502400. Its totient is φ = 218350080.

The previous prime is 1034986643. The next prime is 1034986691. The reversal of 1034986680 is 866894301.

1034986680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93015 + ... + 103545.

It is an arithmetic number, because the mean of its divisors is an integer number (16587900).

Almost surely, 21034986680 is an apocalyptic number.

1034986680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034986680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123251200).

1034986680 is an abundant number, since it is smaller than the sum of its proper divisors (3211515720).

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

1034986680 is a wasteful number, since it uses less digits than its factorization.

1034986680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571 (or 10561 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1034986680 is about 32171.2088675573. The cubic root of 1034986680 is about 1011.5288026002.

The spelling of 1034986680 in words is "one billion, thirty-four million, nine hundred eighty-six thousand, six hundred eighty".