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2034153216 = 2833294293
BaseRepresentation
bin111100100111110…
…1011011100000000
312020202121200122000
41321033223130000
513131220400331
6533502544000
7101260005564
oct17117533400
95222550560
102034153216
11954254467
12489298000
13265574874
141542296a4
15bd8ac0e6
hex793eb700

2034153216 has 72 divisors (see below), whose sum is σ = 6015369360. Its totient is φ = 678048768.

The previous prime is 2034153137. The next prime is 2034153217. The reversal of 2034153216 is 6123514302.

2034153216 is a `hidden beast` number, since 203 + 415 + 32 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2034153216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034153217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140235 + ... + 154058.

Almost surely, 22034153216 is an apocalyptic number.

It is an amenable number.

2034153216 is an abundant number, since it is smaller than the sum of its proper divisors (3981216144).

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

2034153216 is an equidigital number, since it uses as much as digits as its factorization.

2034153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294318 (or 294298 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2034153216 is about 45101.5877325843. The cubic root of 2034153216 is about 1267.0523358699.

Adding to 2034153216 its reverse (6123514302), we get a palindrome (8157667518).

The spelling of 2034153216 in words is "two billion, thirty-four million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 294293 588586 882879 1177172 1765758 2354344 2648637 3531516 4708688 5297274 7063032 7945911 9417376 10594548 14126064 15891822 18834752 21189096 28252128 31783644 37669504 42378192 56504256 63567288 75339008 84756384 113008512 127134576 169512768 226017024 254269152 339025536 508538304 678051072 1017076608 2034153216