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1000030440 = 2335173311481
BaseRepresentation
bin111011100110110…
…100000011101000
32120200201210212110
4323212310003220
54022001433230
6243122042320
733532055433
oct7346640350
92520653773
101000030440
11473544742
1223aaa93a0
1312c24acb6
1496b5881a
155cbda4b0
hex3b9b40e8

1000030440 has 128 divisors (see below), whose sum is σ = 3188315520. Its totient is φ = 250060800.

The previous prime is 1000030429. The next prime is 1000030441. The reversal of 1000030440 is 440300001.

1000030440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000030441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674500 + ... + 675980.

It is an arithmetic number, because the mean of its divisors is an integer number (24908715).

Almost surely, 21000030440 is an apocalyptic number.

1000030440 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 1000030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594157760).

1000030440 is an abundant number, since it is smaller than the sum of its proper divisors (2188285080).

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

1000030440 is a wasteful number, since it uses less digits than its factorization.

1000030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000030440 is about 31623.2578966810. The cubic root of 1000030440 is about 1000.0101465637.

Adding to 1000030440 its reverse (440300001), we get a palindrome (1440330441).

The spelling of 1000030440 in words is "one billion, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 331 340 408 510 662 680 993 1020 1324 1481 1655 1986 2040 2648 2962 3310 3972 4443 4965 5627 5924 6620 7405 7944 8886 9930 11254 11848 13240 14810 16881 17772 19860 22215 22508 25177 28135 29620 33762 35544 39720 44430 45016 50354 56270 59240 67524 75531 84405 88860 100708 112540 125885 135048 151062 168810 177720 201416 225080 251770 302124 337620 377655 490211 503540 604248 675240 755310 980422 1007080 1470633 1510620 1960844 2451055 2941266 3021240 3921688 4902110 5882532 7353165 8333587 9804220 11765064 14706330 16667174 19608440 25000761 29412660 33334348 41667935 50001522 58825320 66668696 83335870 100003044 125003805 166671740 200006088 250007610 333343480 500015220 1000030440