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340009488 = 2435713312
BaseRepresentation
bin10100010001000…
…010001000010000
3212200210021100000
4110101002020100
51144020300423
653423330000
711266014210
oct2421021020
9780707300
10340009488
11164a21185
1295a50900
1355598a60
143322a240
151ecb3843
hex14442210

340009488 has 360 divisors, whose sum is σ = 1254961344. Its totient is φ = 86780160.

The previous prime is 340009487. The next prime is 340009493. The reversal of 340009488 is 884900043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (340009487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10968033 + ... + 10968063.

Almost surely, 2340009488 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 340009488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627480672).

340009488 is an abundant number, since it is smaller than the sum of its proper divisors (914951856).

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

340009488 is a wasteful number, since it uses less digits than its factorization.

340009488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 340009488 is about 18439.3461923139. The cubic root of 340009488 is about 697.9596969638.

The spelling of 340009488 in words is "three hundred forty million, nine thousand, four hundred eighty-eight".