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3403003340 = 225116124157
BaseRepresentation
bin1100101011010101…
…1011010111001100
322210011100110222202
43022311123113030
523432132101330
61321402101032
7150221023352
oct31265332714
98704313882
103403003340
1114969a7860
127ab7aa778
13423037b59
14243d4d7d2
1514db4c445
hexcad5b5cc

3403003340 has 72 divisors (see below), whose sum is σ = 7927775856. Its totient is φ = 1216876800.

The previous prime is 3403003333. The next prime is 3403003343. The reversal of 3403003340 is 433003043.

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 (3403003343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816542 + ... + 820698.

It is an arithmetic number, because the mean of its divisors is an integer number (110107998).

Almost surely, 23403003340 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 3403003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963887928).

3403003340 is an abundant number, since it is smaller than the sum of its proper divisors (4524772516).

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

3403003340 is a wasteful number, since it uses less digits than its factorization.

3403003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3403003340 is about 58335.2666917706. The cubic root of 3403003340 is about 1504.1372214045.

Adding to 3403003340 its reverse (433003043), we get a palindrome (3836006383).

The spelling of 3403003340 in words is "three billion, four hundred three million, three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 3721 4157 6710 7442 8314 13420 14884 16628 18605 20785 37210 40931 41570 45727 74420 81862 83140 91454 163724 182908 204655 228635 253577 409310 457270 507154 818620 914540 1014308 1267885 2535770 2789347 5071540 5578694 11157388 13946735 15468197 27893470 30936394 55786940 61872788 77340985 154681970 170150167 309363940 340300334 680600668 850750835 1701501670 3403003340