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3340403424 = 253225434561
BaseRepresentation
bin1100011100011010…
…1000001011100000
322121210120002001100
43013012220023200
523320120402144
61311244234400
7145530650331
oct30706501340
98553502040
103340403424
111464630596
1279283ba00
1341308a697
142398d6288
151483d4269
hexc71a82e0

3340403424 has 72 divisors (see below), whose sum is σ = 9505091232. Its totient is φ = 1112785920.

The previous prime is 3340403377. The next prime is 3340403431. The reversal of 3340403424 is 4243040433.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33404034242 = 22316590070141847552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730104 + ... + 734664.

It is an arithmetic number, because the mean of its divisors is an integer number (132015156).

Almost surely, 23340403424 is an apocalyptic number.

It is an amenable number.

3340403424 is an abundant number, since it is smaller than the sum of its proper divisors (6164687808).

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

3340403424 is a wasteful number, since it uses less digits than its factorization.

3340403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3340403424 is about 57796.2232676150. The cubic root of 3340403424 is about 1494.8569676324.

Adding to 3340403424 its reverse (4243040433), we get a palindrome (7583443857).

The spelling of 3340403424 in words is "three billion, three hundred forty million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2543 4561 5086 7629 9122 10172 13683 15258 18244 20344 22887 27366 30516 36488 40688 41049 45774 54732 61032 72976 81376 82098 91548 109464 122064 145952 164196 183096 218928 244128 328392 366192 437856 656784 732384 1313568 11598623 23197246 34795869 46394492 69591738 92788984 104387607 139183476 185577968 208775214 278366952 371155936 417550428 556733904 835100856 1113467808 1670201712 3340403424