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343290090 = 235111380021
BaseRepresentation
bin10100011101100…
…011000011101010
3212220221221110210
4110131203003222
51200340240330
654021521550
711335626513
oct2435430352
9786857423
10343290090
11166861a20
1296b732b6
1356177040
1433841a0a
15202108b0
hex147630ea

343290090 has 64 divisors (see below), whose sum is σ = 967946112. Its totient is φ = 76819200.

The previous prime is 343290083. The next prime is 343290097. The reversal of 343290090 is 90092343.

It is an interprime number because it is at equal distance from previous prime (343290083) and next prime (343290097).

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

It is not an unprimeable number, because it can be changed into a prime (343290097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35721 + ... + 44300.

It is an arithmetic number, because the mean of its divisors is an integer number (15124158).

Almost surely, 2343290090 is an apocalyptic number.

343290090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

343290090 is an abundant number, since it is smaller than the sum of its proper divisors (624656022).

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

343290090 is a wasteful number, since it uses less digits than its factorization.

343290090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80055.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 343290090 is about 18528.0892161064. The cubic root of 343290090 is about 700.1972845291.

The spelling of 343290090 in words is "three hundred forty-three million, two hundred ninety thousand, ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 80021 160042 240063 400105 480126 800210 880231 1040273 1200315 1760462 2080546 2400630 2640693 3120819 4401155 5201365 5281386 6241638 8802310 10402730 11443003 13203465 15604095 22886006 26406930 31208190 34329009 57215015 68658018 114430030 171645045 343290090