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340030080 = 273251319239
BaseRepresentation
bin10100010001000…
…111001010000000
3212200211022120200
4110101013022000
51144021430310
653424005200
711266131225
oct2421071200
9780738520
10340030080
11164a356a5
1295a60800
13555a5240
143323394c
151ecb99c0
hex14447280

340030080 has 384 divisors, whose sum is σ = 1336608000. Its totient is φ = 78962688.

The previous prime is 340030079. The next prime is 340030109. The reversal of 340030080 is 80030043.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422601 + ... + 1422839.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2340030080 is an apocalyptic number.

340030080 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 340030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

340030080 is an abundant number, since it is smaller than the sum of its proper divisors (996577920).

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

340030080 is a wasteful number, since it uses less digits than its factorization.

340030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 340030080 is about 18439.9045550675. The cubic root of 340030080 is about 697.9737868608.

The spelling of 340030080 in words is "three hundred forty million, thirty thousand, eighty".