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3280613436 = 22323710192417
BaseRepresentation
bin1100001110001010…
…0011000000111100
322110122001102121100
43003202203000330
523204314112221
61301310533100
7144203516442
oct30342430074
98418042540
103280613436
111433903481
12776807190
134038851a9
142319b0b92
15143023926
hexc38a303c

3280613436 has 72 divisors (see below), whose sum is σ = 8528672880. Its totient is φ = 1062498816.

The previous prime is 3280613431. The next prime is 3280613443. The reversal of 3280613436 is 6343160823.

3280613436 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 613 + 4 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3280613436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280613431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1356100 + ... + 1358516.

It is an arithmetic number, because the mean of its divisors is an integer number (118453790).

Almost surely, 23280613436 is an apocalyptic number.

3280613436 is a gapful number since it is divisible by the number (36) 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 3280613436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264336440).

3280613436 is an abundant number, since it is smaller than the sum of its proper divisors (5248059444).

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

3280613436 is a wasteful number, since it uses less digits than its factorization.

3280613436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3280613436 is about 57276.6395313133. The cubic root of 3280613436 is about 1485.8843883447.

The spelling of 3280613436 in words is "three billion, two hundred eighty million, six hundred thirteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1019 1332 2038 2417 3057 4076 4834 6114 7251 9171 9668 12228 14502 18342 21753 29004 36684 37703 43506 75406 87012 89429 113109 150812 178858 226218 268287 339327 357716 452436 536574 678654 804861 1073148 1357308 1609722 2462923 3219444 4925846 7388769 9851692 14777538 22166307 29555076 44332614 88665228 91128151 182256302 273384453 364512604 546768906 820153359 1093537812 1640306718 3280613436