Search a number
-
+
333442128 = 2437197841
BaseRepresentation
bin10011110111111…
…110110001010000
3212020102121121110
4103313332301100
51140330122003
653030453320
711156132325
oct2367766120
9766377543
10333442128
11161246008
1293804240
1354109746
14323dab4c
151e417a03
hex13dfec50

333442128 has 40 divisors (see below), whose sum is σ = 873533376. Its totient is φ = 109580800.

The previous prime is 333442127. The next prime is 333442139. The reversal of 333442128 is 821244333.

It is a super-2 number, since 2×3334421282 = 222367305450336768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 333442095 and 333442104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333442127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45513 + ... + 52328.

Almost surely, 2333442128 is an apocalyptic number.

It is an amenable number.

333442128 is an abundant number, since it is smaller than the sum of its proper divisors (540091248).

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

333442128 is a wasteful number, since it uses less digits than its factorization.

333442128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97923 (or 97917 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 333442128 is about 18260.3978050863. The cubic root of 333442128 is about 693.4367001540.

The spelling of 333442128 in words is "three hundred thirty-three million, four hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 97841 195682 293523 391364 587046 782728 1174092 1565456 2348184 4696368 6946711 13893422 20840133 27786844 41680266 55573688 83360532 111147376 166721064 333442128