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334426016 = 2531443761
BaseRepresentation
bin10011111011101…
…110111110100000
3212022021121020202
4103323232332200
51141103113031
653103524332
711200400651
oct2373567640
9768247222
10334426016
11161858241
1293bb96a8
1354392522
14325b5528
151e55e2cb
hex13eeefa0

334426016 has 48 divisors (see below), whose sum is σ = 682069248. Its totient is φ = 161241600.

The previous prime is 334426013. The next prime is 334426019. The reversal of 334426016 is 610624433.

It is an interprime number because it is at equal distance from previous prime (334426013) and next prime (334426019).

It is a super-2 number, since 2×3344260162 = 223681520355264512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334426016.

It is not an unprimeable number, because it can be changed into a prime (334426013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439076 + ... + 439836.

It is an arithmetic number, because the mean of its divisors is an integer number (14209776).

Almost surely, 2334426016 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 334426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341034624).

334426016 is an abundant number, since it is smaller than the sum of its proper divisors (347643232).

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

334426016 is a wasteful number, since it uses less digits than its factorization.

334426016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 334426016 is about 18287.3184474925. The cubic root of 334426016 is about 694.1180718587.

The spelling of 334426016 in words is "three hundred thirty-four million, four hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 443 496 761 886 992 1522 1772 3044 3544 6088 7088 12176 13733 14176 23591 24352 27466 47182 54932 94364 109864 188728 219728 337123 377456 439456 674246 754912 1348492 2696984 5393968 10450813 10787936 20901626 41803252 83606504 167213008 334426016