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3354059016 = 23367211297
BaseRepresentation
bin1100011111101010…
…1110000100001000
322122202020212000000
43013322232010020
523332114342031
61312453043000
7146055013500
oct30772560410
98582225000
103354059016
111471308200
12797326460
13415b5c109
1423b64ca00
151496d03e6
hexc7eae108

3354059016 has 504 divisors, whose sum is σ = 12180468510. Its totient is φ = 862202880.

The previous prime is 3354058931. The next prime is 3354059017. The reversal of 3354059016 is 6109504533.

3354059016 is a `hidden beast` number, since 3 + 3 + 54 + 0 + 590 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2921834916 + 432224100 = 54054^2 + 20790^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×33540590162 = 22499423765621776512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354059017) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 34577880 + ... + 34577976.

Almost surely, 23354059016 is an apocalyptic number.

3354059016 is a gapful number since it is divisible by the number (36) 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 3354059016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090234255).

3354059016 is an abundant number, since it is smaller than the sum of its proper divisors (8826409494).

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

3354059016 is a wasteful number, since it uses less digits than its factorization.

3354059016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3354059016 is about 57914.2384565316. The cubic root of 3354059016 is about 1496.8911933319.

The spelling of 3354059016 in words is "three billion, three hundred fifty-four million, fifty-nine thousand, sixteen".