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3430021040 = 245317011973
BaseRepresentation
bin1100110001110001…
…1111011110110000
322212001012010022022
43030130133132300
524011041133130
61324205131012
7150666461225
oct31434373660
98761163268
103430021040
111500180636
127b8859a68
13428807564
1424778394c
151511d77e5
hexcc71f7b0

3430021040 has 80 divisors (see below), whose sum is σ = 8247972096. Its totient is φ = 1325184000.

The previous prime is 3430021019. The next prime is 3430021043. The reversal of 3430021040 is 401200343.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3430021043) 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, 1737494 + ... + 1739466.

Almost surely, 23430021040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123986048).

3430021040 is an abundant number, since it is smaller than the sum of its proper divisors (4817951056).

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

3430021040 is a wasteful number, since it uses less digits than its factorization.

3430021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3430021040 is about 58566.3814828951. The cubic root of 3430021040 is about 1508.1073666423.

Adding to 3430021040 its reverse (401200343), we get a palindrome (3831221383).

The spelling of 3430021040 in words is "three billion, four hundred thirty million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 701 1240 1402 1973 2480 2804 3505 3946 5608 7010 7892 9865 11216 14020 15784 19730 21731 28040 31568 39460 43462 56080 61163 78920 86924 108655 122326 157840 173848 217310 244652 305815 347696 434620 489304 611630 869240 978608 1223260 1383073 1738480 2446520 2766146 4893040 5532292 6915365 11064584 13830730 22129168 27661460 42875263 55322920 85750526 110645840 171501052 214376315 343002104 428752630 686004208 857505260 1715010520 3430021040