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340348716 = 2235487719
BaseRepresentation
bin10100010010010…
…100111100101100
3212201102111200000
4110102110330230
51144112124331
653434504300
711301626211
oct2422247454
9781374600
10340348716
11165133034
1295b95090
1355687296
14332b7b08
151ed2e0e6
hex14494f2c

340348716 has 72 divisors (see below), whose sum is σ = 895265280. Its totient is φ = 113059152.

The previous prime is 340348711. The next prime is 340348717. The reversal of 340348716 is 617843043.

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

It is not an unprimeable number, because it can be changed into a prime (340348711) 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 23 ways as a sum of consecutive naturals, for example, 473005 + ... + 473723.

It is an arithmetic number, because the mean of its divisors is an integer number (12434240).

Almost surely, 2340348716 is an apocalyptic number.

340348716 is a gapful number since it is divisible by the number (36) 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 340348716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447632640).

340348716 is an abundant number, since it is smaller than the sum of its proper divisors (554916564).

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

340348716 is a wasteful number, since it uses less digits than its factorization.

340348716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 340348716 is about 18448.5423814457. The cubic root of 340348716 is about 698.1917383068.

The spelling of 340348716 in words is "three hundred forty million, three hundred forty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 487 719 972 974 1438 1461 1948 2157 2876 2922 4314 4383 5844 6471 8628 8766 12942 13149 17532 19413 25884 26298 38826 39447 52596 58239 77652 78894 116478 118341 157788 174717 232956 236682 349434 350153 473364 698868 700306 1050459 1400612 2100918 3151377 4201836 6302754 9454131 12605508 18908262 28362393 37816524 56724786 85087179 113449572 170174358 340348716