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1030923664 = 242323492
BaseRepresentation
bin111101011100101…
…010010110010000
32122211212100101221
4331130222112100
54102404024124
6250144134424
734355464231
oct7534522620
92584770357
101030923664
11489a25231
12249307414
13135776704
149acbb088
156078dce4
hex3d72a590

1030923664 has 45 divisors (see below), whose sum is σ = 2094034593. Its totient is φ = 491637696.

The previous prime is 1030923653. The next prime is 1030923683. The reversal of 1030923664 is 4663290301.

It is a happy number.

The square root of 1030923664 is 32108.

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

1030923664 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 only one way, i.e., 756690064 + 274233600 = 27508^2 + 16560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2953762 + ... + 2954110.

Almost surely, 21030923664 is an apocalyptic number.

1030923664 is the 32108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030923664

1030923664 is an abundant number, since it is smaller than the sum of its proper divisors (1063110929).

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

1030923664 is an frugal number, since it uses more digits than its factorization.

1030923664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The cubic root of 1030923664 is about 1010.2034240454.

The spelling of 1030923664 in words is "one billion, thirty million, nine hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 349 368 529 698 1058 1396 2116 2792 4232 5584 8027 8464 16054 32108 64216 121801 128432 184621 243602 369242 487204 738484 974408 1476968 1948816 2801423 2953936 5602846 11205692 22411384 44822768 64432729 128865458 257730916 515461832 1030923664