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334746048 = 26373131723
BaseRepresentation
bin10011111100111…
…101000111000000
3212022212212020210
4103330331013000
51141143333143
653114434120
711203203000
oct2374750700
9768785223
10334746048
11161a5672a
1294132940
13544750b0
143265a000
151e5c4033
hex13f3d1c0

334746048 has 448 divisors, whose sum is σ = 1228953600. Its totient is φ = 79478784.

The previous prime is 334746037. The next prime is 334746053. The reversal of 334746048 is 840647433.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3347460482 = 224109833303236608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 334745997 and 334746015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14554165 + ... + 14554187.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2334746048 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 334746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

334746048 is an abundant number, since it is smaller than the sum of its proper divisors (894207552).

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

334746048 is a wasteful number, since it uses less digits than its factorization.

334746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 334746048 is about 18296.0664624941. The cubic root of 334746048 is about 694.3394154566.

The spelling of 334746048 in words is "three hundred thirty-four million, seven hundred forty-six thousand, forty-eight".