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340689888 = 2535711569
BaseRepresentation
bin10100010011101…
…000001111100000
3212202001211200000
4110103220033200
51144204034023
653450100000
711304546660
oct2423501740
9782054600
10340689888
111653463a0
129611a600
1355776666
14333661a0
151ed9a243
hex144e83e0

340689888 has 288 divisors, whose sum is σ = 1254839040. Its totient is φ = 88335360.

The previous prime is 340689871. The next prime is 340689889. The reversal of 340689888 is 888986043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3406898883 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340689889) 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, 598468 + ... + 599036.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2340689888 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 340689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

340689888 is an abundant number, since it is smaller than the sum of its proper divisors (914149152).

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

340689888 is a wasteful number, since it uses less digits than its factorization.

340689888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 340689888 is about 18457.7866495417. The cubic root of 340689888 is about 698.4249539389.

It can be divided in two parts, 34068 and 9888, that added together give a triangular number (43956 = T296).

The spelling of 340689888 in words is "three hundred forty million, six hundred eighty-nine thousand, eight hundred eighty-eight".