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3340404324 = 223217291071759
BaseRepresentation
bin1100011100011010…
…1000011001100100
322121210120010021200
43013012220121210
523320120414244
61311244242500
7145530653055
oct30706503144
98553503250
103340404324
111464631234
12792840430
1341308ac0a
142398d672c
151483d4669
hexc71a8664

3340404324 has 144 divisors (see below), whose sum is σ = 9340531200. Its totient is φ = 1001806848.

The previous prime is 3340404311. The next prime is 3340404343. The reversal of 3340404324 is 4234040433.

3340404324 is a `hidden beast` number, since 334 + 0 + 4 + 0 + 4 + 324 = 666.

It is a super-2 number, since 2×33404043242 = 22316602095595793952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1898157 + ... + 1899915.

It is an arithmetic number, because the mean of its divisors is an integer number (64864800).

Almost surely, 23340404324 is an apocalyptic number.

3340404324 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 3340404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670265600).

3340404324 is an abundant number, since it is smaller than the sum of its proper divisors (6000126876).

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

3340404324 is a wasteful number, since it uses less digits than its factorization.

3340404324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1917 counting only the distinct ones).

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

The square root of 3340404324 is about 57796.2310535903. The cubic root of 3340404324 is about 1494.8571018847.

Adding to 3340404324 its reverse (4234040433), we get a palindrome (7574444757).

The spelling of 3340404324 in words is "three billion, three hundred forty million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 107 116 153 174 204 214 261 306 321 348 428 493 522 612 642 963 986 1044 1284 1479 1759 1819 1926 1972 2958 3103 3518 3638 3852 4437 5277 5457 5916 6206 7036 7276 8874 9309 10554 10914 12412 15831 16371 17748 18618 21108 21828 27927 29903 31662 32742 37236 51011 52751 55854 59806 63324 65484 89709 102022 105502 111708 119612 153033 158253 179418 188213 204044 211004 269127 306066 316506 358836 376426 459099 474759 538254 564639 612132 633012 752852 867187 918198 949518 1076508 1129278 1693917 1734374 1836396 1899036 2258556 2601561 3199621 3387834 3468748 5203122 5458177 6399242 6775668 7804683 9598863 10406244 10916354 12798484 15609366 16374531 19197726 21832708 28796589 31218732 32749062 38395452 49123593 57593178 65498124 92789009 98247186 115186356 185578018 196494372 278367027 371156036 556734054 835101081 1113468108 1670202162 3340404324