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334867680 = 253257139239
BaseRepresentation
bin10011111101011…
…010110011100000
3212100010001002200
4103331122303200
51141211231210
653121213200
711204220420
oct2375326340
9770101080
10334867680
1116202a054
1294191200
13544b8574
143268c480
151e5ea0c0
hex13f5ace0

334867680 has 288 divisors, whose sum is σ = 1320883200. Its totient is φ = 75672576.

The previous prime is 334867679. The next prime is 334867681. The reversal of 334867680 is 86768433.

It is an interprime number because it is at equal distance from previous prime (334867679) and next prime (334867681).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3348676802 = 224272726217164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334867681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401001 + ... + 1401239.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2334867680 is an apocalyptic number.

334867680 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 334867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

334867680 is an abundant number, since it is smaller than the sum of its proper divisors (986015520).

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

334867680 is a wasteful number, since it uses less digits than its factorization.

334867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 334867680 is about 18299.3901537729. The cubic root of 334867680 is about 694.4235027475.

The spelling of 334867680 in words is "three hundred thirty-four million, eight hundred sixty-seven thousand, six hundred eighty".