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340523760 = 24351418849
BaseRepresentation
bin10100010010111…
…111101011110000
3212201202101210010
4110102333223300
51144133230020
653442334520
711303255433
oct2422775360
9781671703
10340523760
111652425a5
129605a440
1355718b65
143332181a
151ed65de0
hex144bfaf0

340523760 has 40 divisors (see below), whose sum is σ = 1055624400. Its totient is φ = 90806272.

The previous prime is 340523749. The next prime is 340523761. The reversal of 340523760 is 67325043.

340523760 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 (40).

It is a super-2 number, since 2×3405237602 = 231912862249075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340523761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709185 + ... + 709664.

It is an arithmetic number, because the mean of its divisors is an integer number (26390610).

Almost surely, 2340523760 is an apocalyptic number.

340523760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340523760 is an abundant number, since it is smaller than the sum of its proper divisors (715100640).

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

340523760 is a wasteful number, since it uses less digits than its factorization.

340523760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418865 (or 1418859 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 340523760 is about 18453.2858862588. The cubic root of 340523760 is about 698.3114129453.

The spelling of 340523760 in words is "three hundred forty million, five hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1418849 2837698 4256547 5675396 7094245 8513094 11350792 14188490 17026188 21282735 22701584 28376980 34052376 42565470 56753960 68104752 85130940 113507920 170261880 340523760