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1234952064 = 273223127367
BaseRepresentation
bin100100110011011…
…1101111110000000
310012001210001202100
41021212331332000
510012121431224
6322313150400
742413630223
oct11146757600
93161701670
101234952064
11584109845
122a56bb400
13168b11488
14ba02b5ba
1573641ac9
hex499bdf80

1234952064 has 192 divisors, whose sum is σ = 3747594240. Its totient is φ = 389587968.

The previous prime is 1234952057. The next prime is 1234952083. The reversal of 1234952064 is 4602594321.

It is a happy number.

1234952064 is a `hidden beast` number, since 123 + 4 + 9 + 520 + 6 + 4 = 666.

1234952064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3364809 + ... + 3365175.

It is an arithmetic number, because the mean of its divisors is an integer number (19518720).

Almost surely, 21234952064 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 1234952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873797120).

1234952064 is an abundant number, since it is smaller than the sum of its proper divisors (2512642176).

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

1234952064 is a wasteful number, since it uses less digits than its factorization.

1234952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1234952064 is about 35141.8847530977. The cubic root of 1234952064 is about 1072.8772428772.

The spelling of 1234952064 in words is "one billion, two hundred thirty-four million, nine hundred fifty-two thousand, sixty-four".