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3340001424 = 243177015839
BaseRepresentation
bin1100011100010100…
…0110000010010000
322121202210122121110
43013011012002100
523320020021144
61311231453320
7145524354324
oct30705060220
98552718543
103340001424
111464386561
12792687240
13412c79706
1423982d984
151483550b9
hexc7146090

3340001424 has 80 divisors (see below), whose sum is σ = 9150485760. Its totient is φ = 1046169600.

The previous prime is 3340001351. The next prime is 3340001437. The reversal of 3340001424 is 4241000433.

It is a super-2 number, since 2×33400014242 = 22311219024644055552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3340001424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569097 + ... + 574935.

It is an arithmetic number, because the mean of its divisors is an integer number (114381072).

Almost surely, 23340001424 is an apocalyptic number.

3340001424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575242880).

3340001424 is an abundant number, since it is smaller than the sum of its proper divisors (5810484336).

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

3340001424 is a wasteful number, since it uses less digits than its factorization.

3340001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3340001424 is about 57792.7454270863. The cubic root of 3340001424 is about 1494.7969991662.

Adding to 3340001424 its reverse (4241000433), we get a palindrome (7581001857).

Subtracting 3340001424 from its reverse (4241000433), we obtain a palindrome (900999009).

The spelling of 3340001424 in words is "three billion, three hundred forty million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 701 816 1402 2103 2804 4206 5608 5839 8412 11216 11678 11917 16824 17517 23356 23834 33648 35034 35751 46712 47668 70068 71502 93424 95336 99263 140136 143004 190672 198526 280272 286008 297789 397052 572016 595578 794104 1191156 1588208 2382312 4093139 4764624 8186278 12279417 16372556 24558834 32745112 49117668 65490224 69583363 98235336 139166726 196470672 208750089 278333452 417500178 556666904 835000356 1113333808 1670000712 3340001424