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340291872 = 253210872
BaseRepresentation
bin10100010010000…
…111000100100000
3212201022121200200
4110102013010200
51144103314442
653433345200
711301301404
oct2422070440
9781277620
10340291872
111650a4358
1295b68200
135566744b
14332a1104
151ed1c34c
hex14487120

340291872 has 54 divisors (see below), whose sum is σ = 968596083. Its totient is φ = 113326272.

The previous prime is 340291871. The next prime is 340291879. The reversal of 340291872 is 278192043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 170145936 + 170145936 = 13044^2 + 13044^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13044.

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 (340291871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 312513 + ... + 313599.

Almost surely, 2340291872 is an apocalyptic number.

340291872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340291872 is an abundant number, since it is smaller than the sum of its proper divisors (628304211).

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

340291872 is an equidigital number, since it uses as much as digits as its factorization.

340291872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 340291872 is about 18447.0017075947. The cubic root of 340291872 is about 698.1528661941.

The spelling of 340291872 in words is "three hundred forty million, two hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1087 2174 3261 4348 6522 8696 9783 13044 17392 19566 26088 34784 39132 52176 78264 104352 156528 313056 1181569 2363138 3544707 4726276 7089414 9452552 10634121 14178828 18905104 21268242 28357656 37810208 42536484 56715312 85072968 113430624 170145936 340291872