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340155648 = 28327223131
BaseRepresentation
bin10100010001100…
…101110100000000
3212201001200211100
4110101211310000
51144034440043
653430414400
711300163300
oct2421456400
9781050740
10340155648
11165010a78
1295b01400
135561a441
1433267600
151ece1cd3
hex14465d00

340155648 has 324 divisors, whose sum is σ = 1199566368. Its totient is φ = 92252160.

The previous prime is 340155631. The next prime is 340155667. The reversal of 340155648 is 846551043.

It is a happy number.

340155648 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 5 + 5 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2596543 + ... + 2596673.

Almost surely, 2340155648 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 340155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599783184).

340155648 is an abundant number, since it is smaller than the sum of its proper divisors (859410720).

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

340155648 is a wasteful number, since it uses less digits than its factorization.

340155648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 340155648 is about 18443.3090306485. The cubic root of 340155648 is about 698.0596933648.

It can be divided in two parts, 3401 and 55648, that added together give a 10-th power (59049 = 310).

The spelling of 340155648 in words is "three hundred forty million, one hundred fifty-five thousand, six hundred forty-eight".