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340425360 = 243251153811
BaseRepresentation
bin10100010010100…
…111101010010000
3212201120101210200
4110102213222100
51144122102420
653440255200
711302365522
oct2422475220
9781511720
10340425360
11165185680
1296011500
13556b3132
14332d7a12
151ed46b90
hex144a7a90

340425360 has 240 divisors, whose sum is σ = 1272293568. Its totient is φ = 80870400.

The previous prime is 340425329. The next prime is 340425361. The reversal of 340425360 is 63524043.

340425360 is a `hidden beast` number, since 3 + 404 + 253 + 6 + 0 = 666.

340425360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3404253602 = 231778851462259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340425361) 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, 419355 + ... + 420165.

Almost surely, 2340425360 is an apocalyptic number.

340425360 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 340425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636146784).

340425360 is an abundant number, since it is smaller than the sum of its proper divisors (931868208).

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

340425360 is a wasteful number, since it uses less digits than its factorization.

340425360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 340425360 is about 18450.6195017945. The cubic root of 340425360 is about 698.2441435691.

The spelling of 340425360 in words is "three hundred forty million, four hundred twenty-five thousand, three hundred sixty".