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1030458912 = 25375572753
BaseRepresentation
bin111101011010111…
…000111000100000
32122210222201212220
4331122320320200
54102244141122
6250130151040
734351520250
oct7532707040
92583881786
101030458912
1148973803a
12249122480
13135643002
149abd9960
15606eb25c
hex3d6b8e20

1030458912 has 96 divisors (see below), whose sum is σ = 3098051712. Its totient is φ = 293781504.

The previous prime is 1030458907. The next prime is 1030458929. The reversal of 1030458912 is 2198540301.

1030458912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372928 + ... + 375680.

It is an arithmetic number, because the mean of its divisors is an integer number (32271372).

Almost surely, 21030458912 is an apocalyptic number.

1030458912 is a gapful number since it is divisible by the number (12) 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 1030458912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549025856).

1030458912 is an abundant number, since it is smaller than the sum of its proper divisors (2067592800).

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

1030458912 is a wasteful number, since it uses less digits than its factorization.

1030458912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1030458912 is about 32100.7618601179. The cubic root of 1030458912 is about 1010.0515975339.

The spelling of 1030458912 in words is "one billion, thirty million, four hundred fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 557 672 1114 1671 2228 2753 3342 3899 4456 5506 6684 7798 8259 8912 11012 11697 13368 15596 16518 17824 19271 22024 23394 26736 31192 33036 38542 44048 46788 53472 57813 62384 66072 77084 88096 93576 115626 124768 132144 154168 187152 231252 264288 308336 374304 462504 616672 925008 1533421 1850016 3066842 4600263 6133684 9200526 10733947 12267368 18401052 21467894 24534736 32201841 36802104 42935788 49069472 64403682 73604208 85871576 128807364 147208416 171743152 257614728 343486304 515229456 1030458912