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2134470000 = 24354132421
BaseRepresentation
bin111111100111001…
…0110110101110000
312111202101022101110
41333032112311300
513332411020000
6551445033320
7103615460415
oct17716266560
95452338343
102134470000
119a59419a3
124b69b5840
13280299600
141636a010c
15c75c5850
hex7f396d70

2134470000 has 300 divisors, whose sum is σ = 7478874744. Its totient is φ = 524160000.

The previous prime is 2134469999. The next prime is 2134470031. The reversal of 2134470000 is 744312.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5069790 + ... + 5070210.

Almost surely, 22134470000 is an apocalyptic number.

2134470000 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 2134470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739437372).

2134470000 is an abundant number, since it is smaller than the sum of its proper divisors (5344404744).

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

2134470000 is a wasteful number, since it uses less digits than its factorization.

2134470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2134470000 is about 46200.3246741838. The cubic root of 2134470000 is about 1287.5477721301.

The spelling of 2134470000 in words is "two billion, one hundred thirty-four million, four hundred seventy thousand".