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2034148064 = 25138358913
BaseRepresentation
bin111100100111110…
…1010001011100000
312020202121102120012
41321033222023200
513131220214224
6533502504052
7101256654554
oct17117521340
95222542505
102034148064
11954250603
12489295028
13265572410
14154227864
15bd8aa80e
hex793ea2e0

2034148064 has 48 divisors (see below), whose sum is σ = 4364820432. Its totient is φ = 927510528.

The previous prime is 2034148043. The next prime is 2034148069. The reversal of 2034148064 is 4608414302.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2034148064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034148069) 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, 5072 + ... + 63984.

It is an arithmetic number, because the mean of its divisors is an integer number (90933759).

Almost surely, 22034148064 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 2034148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182410216).

2034148064 is an abundant number, since it is smaller than the sum of its proper divisors (2330672368).

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

2034148064 is a wasteful number, since it uses less digits than its factorization.

2034148064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59019 (or 59011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2034148064 is about 45101.5306170423. The cubic root of 2034148064 is about 1267.0512661604.

The spelling of 2034148064 in words is "two billion, thirty-four million, one hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 664 1079 1328 2158 2656 4316 8632 17264 34528 58913 117826 235652 471304 765869 942608 1531738 1885216 3063476 4889779 6126952 9779558 12253904 19559116 24507808 39118232 63567127 78236464 127134254 156472928 254268508 508537016 1017074032 2034148064