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340416420 = 223510095623
BaseRepresentation
bin10100010010100…
…101011110100100
3212201112221112120
4110102211132210
51144121311140
653440145540
711302330461
oct2422453644
9781487476
10340416420
11165179993
12960082b0
13556ac046
14332d4668
151ed441d0
hex144a57a4

340416420 has 48 divisors (see below), whose sum is σ = 954280320. Its totient is φ = 90671616.

The previous prime is 340416397. The next prime is 340416431. The reversal of 340416420 is 24614043.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57729 + ... + 63351.

It is an arithmetic number, because the mean of its divisors is an integer number (19880840).

Almost surely, 2340416420 is an apocalyptic number.

340416420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340416420 is an abundant number, since it is smaller than the sum of its proper divisors (613863900).

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

340416420 is a wasteful number, since it uses less digits than its factorization.

340416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 340416420 is about 18450.3772319159. The cubic root of 340416420 is about 698.2380312578.

The spelling of 340416420 in words is "three hundred forty million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1009 2018 3027 4036 5045 5623 6054 10090 11246 12108 15135 16869 20180 22492 28115 30270 33738 56230 60540 67476 84345 112460 168690 337380 5673607 11347214 17020821 22694428 28368035 34041642 56736070 68083284 85104105 113472140 170208210 340416420