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334011444 = 22313172943101
BaseRepresentation
bin10011111010001…
…001110000110100
3212021111112120020
4103322021300310
51141001331234
653051005140
711164023204
oct2372116064
9767445506
10334011444
111615a4818
1293a397b0
1354278910
1432508404
151e4cb549
hex13e89c34

334011444 has 192 divisors, whose sum is σ = 950019840. Its totient is φ = 90316800.

The previous prime is 334011409. The next prime is 334011463. The reversal of 334011444 is 444110433.

334011444 = T389 + T390 + ... + T1272.

It is a super-2 number, since 2×3340114442 = 223127289445930272, which contains 22 as substring.

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, 3306994 + ... + 3307094.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2334011444 is an apocalyptic number.

334011444 is a gapful number since it is divisible by the number (34) 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 334011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475009920).

334011444 is an abundant number, since it is smaller than the sum of its proper divisors (616008396).

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

334011444 is a wasteful number, since it uses less digits than its factorization.

334011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 334011444 is about 18275.9799737251. The cubic root of 334011444 is about 693.8311315553.

Adding to 334011444 its reverse (444110433), we get a palindrome (778121877).

The spelling of 334011444 in words is "three hundred thirty-four million, eleven thousand, four hundred forty-four".