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1034230120 = 235711409821
BaseRepresentation
bin111101101001010…
…001100101101000
32200002002100000021
4331221101211220
54104230330440
6250343050224
734425545110
oct7551214550
92602070007
101034230120
11490883440
1224a440974
131363636b1
149b4dc040
1560be384a
hex3da51968

1034230120 has 128 divisors (see below), whose sum is σ = 2911852800. Its totient is φ = 321177600.

The previous prime is 1034230117. The next prime is 1034230133. The reversal of 1034230120 is 210324301.

It is a happy number.

1034230120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10342301202 = 2139263882230428800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034230094 and 1034230103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259310 + ... + 1260130.

It is an arithmetic number, because the mean of its divisors is an integer number (22748850).

Almost surely, 21034230120 is an apocalyptic number.

1034230120 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 1034230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455926400).

1034230120 is an abundant number, since it is smaller than the sum of its proper divisors (1877622680).

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

1034230120 is a wasteful number, since it uses less digits than its factorization.

1034230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1034230120 is about 32159.4483783538. The cubic root of 1034230120 is about 1011.2822716411.

Adding to 1034230120 its reverse (210324301), we get a palindrome (1244554421).

The spelling of 1034230120 in words is "one billion, thirty-four million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 409 440 616 770 818 821 1540 1636 1642 2045 2863 3080 3272 3284 4090 4105 4499 5726 5747 6568 8180 8210 8998 9031 11452 11494 14315 16360 16420 17996 18062 22495 22904 22988 28630 28735 31493 32840 35992 36124 44990 45155 45976 57260 57470 62986 63217 72248 89980 90310 114520 114940 125972 126434 157465 179960 180620 229880 251944 252868 314930 316085 335789 361240 505736 629860 632170 671578 1259720 1264340 1343156 1678945 2350523 2528680 2686312 3357890 3693679 4701046 6715780 7387358 9402092 11752615 13431560 14774716 18468395 18804184 23505230 25855753 29549432 36936790 47010460 51711506 73873580 94020920 103423012 129278765 147747160 206846024 258557530 517115060 1034230120