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270340668 = 2232132919919
BaseRepresentation
bin10000000111010…
…001001000111100
3200211200201200100
4100013101020330
51023201400133
642454201100
76461600133
oct2007211074
9624621610
10270340668
11129666a44
1276653190
1344014bc0
1427c9291a
1518b00e13
hex101d123c

270340668 has 72 divisors (see below), whose sum is σ = 761342400. Its totient is φ = 80309376.

The previous prime is 270340667. The next prime is 270340669. The reversal of 270340668 is 866043072.

It is an interprime number because it is at equal distance from previous prime (270340667) and next prime (270340669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270340661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3613 + ... + 23531.

It is an arithmetic number, because the mean of its divisors is an integer number (10574200).

Almost surely, 2270340668 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 270340668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380671200).

270340668 is an abundant number, since it is smaller than the sum of its proper divisors (491001732).

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

270340668 is a wasteful number, since it uses less digits than its factorization.

270340668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19971 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 270340668 is about 16442.0396544954. The cubic root of 270340668 is about 646.6021249693.

The spelling of 270340668 in words is "two hundred seventy million, three hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 19919 39838 59757 79676 119514 179271 239028 258947 358542 517894 577651 717084 776841 1035788 1155302 1553682 1732953 2310604 2330523 3107364 3465906 4661046 5198859 6931812 7509463 9322092 10397718 15018926 20795436 22528389 30037852 45056778 67585167 90113556 135170334 270340668