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2668348440 = 233352470693
BaseRepresentation
bin1001111100001011…
…1100010000011000
320212221222010221000
42133002330100120
520431044122230
61120435545000
7123060405342
oct23702742030
96787863830
102668348440
11114a23874a
1262575b160
13336a83b04
141b4554292
151093d1b60
hex9f0bc418

2668348440 has 64 divisors (see below), whose sum is σ = 8894498400. Its totient is φ = 711559296.

The previous prime is 2668348421. The next prime is 2668348447. The reversal of 2668348440 is 448438662.

2668348440 is a `hidden beast` number, since 266 + 8 + 348 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668348447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234267 + ... + 1236426.

Almost surely, 22668348440 is an apocalyptic number.

2668348440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2668348440 is an abundant number, since it is smaller than the sum of its proper divisors (6226149960).

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

2668348440 is a wasteful number, since it uses less digits than its factorization.

2668348440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470713 (or 2470703 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 2668348440 is about 51656.0590831318. The cubic root of 2668348440 is about 1387.0140065645.

The spelling of 2668348440 in words is "two billion, six hundred sixty-eight million, three hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2470693 4941386 7412079 9882772 12353465 14824158 19765544 22236237 24706930 29648316 37060395 44472474 49413860 59296632 66708711 74120790 88944948 98827720 111181185 133417422 148241580 177889896 222362370 266834844 296483160 333543555 444724740 533669688 667087110 889449480 1334174220 2668348440