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334266240 = 273572111719
BaseRepresentation
bin10011111011000…
…111111110000000
3212021222111002010
4103323013332000
51141033004430
653100252520
711166134100
oct2373077600
9767874063
10334266240
111617591a0
1293b41140
1354337899
1432573200
151e52bcb0
hex13ec7f80

334266240 has 768 divisors, whose sum is σ = 1506988800. Its totient is φ = 61931520.

The previous prime is 334266217. The next prime is 334266241. The reversal of 334266240 is 42662433.

It is a happy number.

It is a super-2 number, since 2×3342662402 = 223467838407475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 334266198 and 334266207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334266241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17592951 + ... + 17592969.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2334266240 is an apocalyptic number.

334266240 is a gapful number since it is divisible by the number (30) 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 334266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753494400).

334266240 is an abundant number, since it is smaller than the sum of its proper divisors (1172722560).

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

334266240 is a wasteful number, since it uses less digits than its factorization.

334266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 334266240 is about 18282.9494338304. The cubic root of 334266240 is about 694.0075131998.

It can be divided in two parts, 3 and 34266240, that added together give a palindrome (34266243).

The spelling of 334266240 in words is "three hundred thirty-four million, two hundred sixty-six thousand, two hundred forty".