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1001400330 = 235747711429
BaseRepresentation
bin111011101100000…
…010100000001010
32120210022102000010
4323230002200022
54022324302310
6243211252350
733546522330
oct7354024012
92523272003
101001400330
1147429a987
1223b44a0b6
1312c60a698
1496dd3b50
155cdab320
hex3bb0280a

1001400330 has 128 divisors (see below), whose sum is σ = 2846638080. Its totient is φ = 220711680.

The previous prime is 1001400329. The next prime is 1001400371. The reversal of 1001400330 is 330041001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700056 + ... + 701484.

It is an arithmetic number, because the mean of its divisors is an integer number (22239360).

Almost surely, 21001400330 is an apocalyptic number.

1001400330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423319040).

1001400330 is an abundant number, since it is smaller than the sum of its proper divisors (1845237750).

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

1001400330 is a wasteful number, since it uses less digits than its factorization.

1001400330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1001400330 is about 31644.9100172524. The cubic root of 1001400330 is about 1000.4665589556.

Adding to 1001400330 its reverse (330041001), we get a palindrome (1331441331).

The spelling of 1001400330 in words is "one billion, one million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 71 94 105 141 142 210 213 235 282 329 355 426 470 497 658 705 710 987 994 1065 1410 1429 1491 1645 1974 2130 2485 2858 2982 3290 3337 4287 4935 4970 6674 7145 7455 8574 9870 10003 10011 14290 14910 16685 20006 20022 21435 23359 30009 33370 42870 46718 50015 50055 60018 67163 70077 100030 100110 101459 116795 134326 140154 150045 201489 202918 233590 300090 304377 335815 350385 402978 470141 507295 608754 671630 700770 710213 940282 1007445 1014590 1410423 1420426 1521885 2014890 2130639 2350705 2820846 3043770 3551065 4261278 4701410 4768573 7052115 7102130 9537146 10653195 14104230 14305719 21306390 23842865 28611438 33380011 47685730 66760022 71528595 100140033 143057190 166900055 200280066 333800110 500700165 1001400330