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340260000 = 2535453107
BaseRepresentation
bin10100010001111…
…111010010100000
3212201020222222020
4110101333102200
51144101310000
653432541440
711301106443
oct2421772240
9781228866
10340260000
11165082413
1295b51880
1355655aa2
143329365a
151ed12ba0
hex1447f4a0

340260000 has 240 divisors, whose sum is σ = 1147807584. Its totient is φ = 88192000.

The previous prime is 340259971. The next prime is 340260007. The reversal of 340260000 is 62043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340260007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3179947 + ... + 3180053.

Almost surely, 2340260000 is an apocalyptic number.

340260000 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 340260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573903792).

340260000 is an abundant number, since it is smaller than the sum of its proper divisors (807547584).

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

340260000 is a wasteful number, since it uses less digits than its factorization.

340260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 340260000 is about 18446.1378071400. The cubic root of 340260000 is about 698.1310690010.

The spelling of 340260000 in words is "three hundred forty million, two hundred sixty thousand".