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2034313272 = 233352118077
BaseRepresentation
bin111100101000001…
…0010100000111000
312020202220211012000
41321100102200320
513131241011042
6533510221000
7101261243325
oct17120224070
95222824160
102034313272
11954353742
12489354760
132655cc684
1415426bb4c
15bd8de74c
hex79412838

2034313272 has 64 divisors (see below), whose sum is σ = 5662029600. Its totient is φ = 676765440.

The previous prime is 2034313271. The next prime is 2034313283. The reversal of 2034313272 is 2723134302.

2034313272 is a `hidden beast` number, since 203 + 431 + 3 + 27 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034313271) 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, 103498 + ... + 121574.

Almost surely, 22034313272 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 2034313272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831014800).

2034313272 is an abundant number, since it is smaller than the sum of its proper divisors (3627716328).

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

2034313272 is a wasteful number, since it uses less digits than its factorization.

2034313272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18613 (or 18603 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2034313272 is about 45103.3620919771. The cubic root of 2034313272 is about 1267.0855673899.

Adding to 2034313272 its reverse (2723134302), we get a palindrome (4757447574).

The spelling of 2034313272 in words is "two billion, thirty-four million, three hundred thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 521 1042 1563 2084 3126 4168 4689 6252 9378 12504 14067 18077 18756 28134 36154 37512 54231 56268 72308 108462 112536 144616 162693 216924 325386 433848 488079 650772 976158 1301544 1952316 3904632 9418117 18836234 28254351 37672468 56508702 75344936 84763053 113017404 169526106 226034808 254289159 339052212 508578318 678104424 1017156636 2034313272