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297013160340 = 22365132237027
BaseRepresentation
bin1000101001001110101…
…11010010100110010100
31001101122100122212000000
410110213113102212110
514331240332112330
6344240154451300
730313156131111
oct4244727224624
91041570585000
10297013160340
11104a65205476
1249691133b30
13220150a4570
14105385a3908
157ad5369560
hex45275d2994

297013160340 has 336 divisors, whose sum is σ = 1011759426048. Its totient is φ = 72772722432.

The previous prime is 297013160309. The next prime is 297013160441. The reversal of 297013160340 is 43061310792.

297013160340 is a `hidden beast` number, since 2 + 9 + 7 + 0 + 1 + 3 + 1 + 603 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 297013160295 and 297013160304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42263907 + ... + 42270933.

It is an arithmetic number, because the mean of its divisors is an integer number (3011188768).

Almost surely, 2297013160340 is an apocalyptic number.

297013160340 is a gapful number since it is divisible by the number (20) 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 297013160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505879713024).

297013160340 is an abundant number, since it is smaller than the sum of its proper divisors (714746265708).

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

297013160340 is a wasteful number, since it uses less digits than its factorization.

297013160340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 297013160340 in words is "two hundred ninety-seven billion, thirteen million, one hundred sixty thousand, three hundred forty".