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1034115320 = 23573839643
BaseRepresentation
bin111101101000110…
…101100011111000
32200001212111112102
4331220311203320
54104213142240
6250340402532
734424556320
oct7550654370
92601774472
101034115320
11490805167
1224a3a6448
13136323374
149b4ac280
1560bbe815
hex3da358f8

1034115320 has 64 divisors (see below), whose sum is σ = 2666373120. Its totient is φ = 353591424.

The previous prime is 1034115317. The next prime is 1034115347. The reversal of 1034115320 is 235114301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1034115292 and 1034115301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102419 + ... + 112061.

It is an arithmetic number, because the mean of its divisors is an integer number (41662080).

Almost surely, 21034115320 is an apocalyptic number.

1034115320 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 1034115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333186560).

1034115320 is an abundant number, since it is smaller than the sum of its proper divisors (1632257800).

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

1034115320 is a wasteful number, since it uses less digits than its factorization.

1034115320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1034115320 is about 32157.6634723358. The cubic root of 1034115320 is about 1011.2448526637.

Adding to 1034115320 its reverse (235114301), we get a palindrome (1269229621).

The spelling of 1034115320 in words is "one billion, thirty-four million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1532 1915 2681 3064 3830 5362 7660 9643 10724 13405 15320 19286 21448 26810 38572 48215 53620 67501 77144 96430 107240 135002 192860 270004 337505 385720 540008 675010 1350020 2700040 3693269 7386538 14773076 18466345 25852883 29546152 36932690 51705766 73865380 103411532 129264415 147730760 206823064 258528830 517057660 1034115320