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134044416 = 2833114143
BaseRepresentation
bin1111111110101…
…01101100000000
3100100020011101000
413333111230000
5233303410131
621145012000
73215234022
oct777255400
9310204330
10134044416
1169734610
1238a84000
1321a0362c
1413b34012
15bb7bce6
hex7fd5b00

134044416 has 288 divisors, whose sum is σ = 453277440. Its totient is φ = 38707200.

The previous prime is 134044381. The next prime is 134044447. The reversal of 134044416 is 614440431.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134044416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117291 + ... + 3117333.

It is an arithmetic number, because the mean of its divisors is an integer number (1573880).

Almost surely, 2134044416 is an apocalyptic number.

134044416 is a gapful number since it is divisible by the number (16) 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 134044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226638720).

134044416 is an abundant number, since it is smaller than the sum of its proper divisors (319233024).

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

134044416 is a wasteful number, since it uses less digits than its factorization.

134044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134044416 is about 11577.7552228400. The cubic root of 134044416 is about 511.7795274717.

Adding to 134044416 its reverse (614440431), we get a palindrome (748484847).

The spelling of 134044416 in words is "one hundred thirty-four million, forty-four thousand, four hundred sixteen".