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355320840 = 23357423001
BaseRepresentation
bin10101001011011…
…100010000001000
3220202121011120010
4111023130100020
51211430231330
655131431520
711543114550
oct2513342010
9822534503
10355320840
11172629896
129abb55a0
13587ca024
1435294160
15212da3b0
hex152dc408

355320840 has 64 divisors (see below), whose sum is σ = 1218245760. Its totient is φ = 81216000.

The previous prime is 355320839. The next prime is 355320937. The reversal of 355320840 is 48023553.

355320840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 355320798 and 355320807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210661 + ... + 212340.

It is an arithmetic number, because the mean of its divisors is an integer number (19035090).

Almost surely, 2355320840 is an apocalyptic number.

355320840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355320840 is an abundant number, since it is smaller than the sum of its proper divisors (862924920).

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

355320840 is a wasteful number, since it uses less digits than its factorization.

355320840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423022 (or 423018 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 355320840 is about 18849.9559681183. The cubic root of 355320840 is about 708.2831227461.

The spelling of 355320840 in words is "three hundred fifty-five million, three hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 423001 846002 1269003 1692004 2115005 2538006 2961007 3384008 4230010 5076012 5922014 6345015 8460020 8883021 10152024 11844028 12690030 14805035 16920040 17766042 23688056 25380060 29610070 35532084 44415105 50760120 59220140 71064168 88830210 118440280 177660420 355320840