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1004431340 = 225115977383
BaseRepresentation
bin111011110111100…
…110011111101100
32121000000101202202
4323313212133230
54024113300330
6243400241032
733614345153
oct7367463754
92530011682
101004431340
11475a80150
12240470178
1313012c193
149758259a
155d2a9445
hex3bde67ec

1004431340 has 48 divisors (see below), whose sum is σ = 2340092160. Its totient is φ = 359052480.

The previous prime is 1004431319. The next prime is 1004431343. The reversal of 1004431340 is 431344001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1004431343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25712 + ... + 51671.

It is an arithmetic number, because the mean of its divisors is an integer number (48751920).

Almost surely, 21004431340 is an apocalyptic number.

1004431340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004431340 is an abundant number, since it is smaller than the sum of its proper divisors (1335660820).

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

1004431340 is a wasteful number, since it uses less digits than its factorization.

1004431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77462 (or 77460 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1004431340 is about 31692.7647894594. The cubic root of 1004431340 is about 1001.4749368252.

Adding to 1004431340 its reverse (431344001), we get a palindrome (1435775341).

The spelling of 1004431340 in words is "one billion, four million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 77383 154766 309532 386915 773830 851213 1547660 1702426 3404852 4256065 4565597 8512130 9131194 17024260 18262388 22827985 45655970 50221567 91311940 100443134 200886268 251107835 502215670 1004431340