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1030430336 = 27132392591
BaseRepresentation
bin111101011010110…
…001111010000000
32122210221021200112
4331122301322000
54102242232321
6250125410452
734351341035
oct7532617200
92583837615
101030430336
11489718621
12249109a28
13135632cc0
149abcd38c
15606e2a5b
hex3d6b1e80

1030430336 has 64 divisors (see below), whose sum is σ = 2220825600. Its totient is φ = 473410560.

The previous prime is 1030430329. The next prime is 1030430351. The reversal of 1030430336 is 6330340301.

1030430336 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 (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396401 + ... + 398991.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 21030430336 is an apocalyptic number.

1030430336 is a gapful number since it is divisible by the number (16) 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 1030430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110412800).

1030430336 is an abundant number, since it is smaller than the sum of its proper divisors (1190395264).

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

1030430336 is a wasteful number, since it uses less digits than its factorization.

1030430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 1030430336 is about 32100.3167585617. The cubic root of 1030430336 is about 1010.0422607550.

Adding to 1030430336 its reverse (6330340301), we get a palindrome (7360770637).

The spelling of 1030430336 in words is "one billion, thirty million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 239 416 478 832 956 1664 1912 2591 3107 3824 5182 6214 7648 10364 12428 15296 20728 24856 30592 33683 41456 49712 67366 82912 99424 134732 165824 198848 269464 331648 397696 538928 619249 1077856 1238498 2155712 2476996 4311424 4953992 8050237 9907984 16100474 19815968 32200948 39631936 64401896 79263872 128803792 257607584 515215168 1030430336