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1134006216 = 2337217131433
BaseRepresentation
bin100001110010111…
…1000111111001000
32221000211111002020
41003211320333020
54310301144331
6304305404440
740046615400
oct10345707710
92830744066
101134006216
11532131722
12277939720
13150c292c5
14aa871800
1569851c96
hex43978fc8

1134006216 has 192 divisors, whose sum is σ = 3526649280. Its totient is φ = 301916160.

The previous prime is 1134006197. The next prime is 1134006217. The reversal of 1134006216 is 6126004311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1134006217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2618736 + ... + 2619168.

It is an arithmetic number, because the mean of its divisors is an integer number (18367965).

Almost surely, 21134006216 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 1134006216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763324640).

1134006216 is an abundant number, since it is smaller than the sum of its proper divisors (2392643064).

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

1134006216 is a wasteful number, since it uses less digits than its factorization.

1134006216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1134006216 is about 33675.0087750545. The cubic root of 1134006216 is about 1042.8098988400.

The spelling of 1134006216 in words is "one billion, one hundred thirty-four million, six thousand, two hundred sixteen".