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334895248 = 24293072351
BaseRepresentation
bin10011111101100…
…001100010010000
3212100011102220201
4103331201202100
51141213121443
653121544544
711204363662
oct2375414220
9770142821
10334895248
11162048836
12941a5154
13544c7c8c
1432698532
151e60334d
hex13f61890

334895248 has 40 divisors (see below), whose sum is σ = 673706880. Its totient is φ = 161078400.

The previous prime is 334895243. The next prime is 334895329. The reversal of 334895248 is 842598433.

334895248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3348952482 = 224309654265963008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334895198 and 334895207.

It is not an unprimeable number, because it can be changed into a prime (334895243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141273 + ... + 143623.

It is an arithmetic number, because the mean of its divisors is an integer number (16842672).

Almost surely, 2334895248 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 334895248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336853440).

334895248 is an abundant number, since it is smaller than the sum of its proper divisors (338811632).

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

334895248 is a wasteful number, since it uses less digits than its factorization.

334895248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2689 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 334895248 is about 18300.1433874164. The cubic root of 334895248 is about 694.4425583754.

It can be divided in two parts, 3348 and 95248, that added together give a square (98596 = 3142).

The spelling of 334895248 in words is "three hundred thirty-four million, eight hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 307 464 614 1228 2351 2456 4702 4912 8903 9404 17806 18808 35612 37616 68179 71224 136358 142448 272716 545432 721757 1090864 1443514 2887028 5774056 11548112 20930953 41861906 83723812 167447624 334895248