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201296340 = 2235576197
BaseRepresentation
bin10111111111110…
…00100111010100
3112000202220200000
423333320213110
5403012440330
631550251300
74662663540
oct1377704724
9460686600
10201296340
11a3698a13
12574b6b30
133291c37b
141ca3ca20
1512a13560
hexbff89d4

201296340 has 288 divisors, whose sum is σ = 743119104. Its totient is φ = 44789760.

The previous prime is 201296339. The next prime is 201296353. The reversal of 201296340 is 43692102.

201296340 is a `hidden beast` number, since 2 + 0 + 1 + 29 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2075172 + ... + 2075268.

Almost surely, 2201296340 is an apocalyptic number.

201296340 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 201296340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371559552).

201296340 is an abundant number, since it is smaller than the sum of its proper divisors (541822764).

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

201296340 is a wasteful number, since it uses less digits than its factorization.

201296340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 201296340 is about 14187.8941354945. The cubic root of 201296340 is about 586.0643345908.

The spelling of 201296340 in words is "two hundred one million, two hundred ninety-six thousand, three hundred forty".