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326442090 = 23513231267
BaseRepresentation
bin10011011101010…
…001110001101010
3211202020222100210
4103131101301222
51132032121330
652220441550
711042466132
oct2335216152
9752228323
10326442090
111582a4857
12913a92b6
1352828500
14314d7ac2
151d9d38b0
hex13751c6a

326442090 has 144 divisors (see below), whose sum is σ = 889696224. Its totient is φ = 76602240.

The previous prime is 326442089. The next prime is 326442101. The reversal of 326442090 is 90244623.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4872237 + ... + 4872303.

It is an arithmetic number, because the mean of its divisors is an integer number (6178446).

Almost surely, 2326442090 is an apocalyptic number.

326442090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 326442090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444848112).

326442090 is an abundant number, since it is smaller than the sum of its proper divisors (563254134).

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

326442090 is a wasteful number, since it uses less digits than its factorization.

326442090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 326442090 is about 18067.7084877967. The cubic root of 326442090 is about 688.5498424201.

It can be divided in two parts, 3264 and 42090, that added together give a palindrome (45354).

The spelling of 326442090 in words is "three hundred twenty-six million, four hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 67 78 93 130 134 155 169 186 195 201 310 335 338 390 402 403 465 507 670 806 845 871 930 961 1005 1014 1209 1690 1742 1922 2010 2015 2077 2418 2535 2613 2883 4030 4154 4355 4805 5070 5226 5239 5766 6045 6231 8710 9610 10385 10478 11323 12090 12462 12493 13065 14415 15717 20770 22646 24986 26130 26195 27001 28830 31155 31434 33969 37479 52390 54002 56615 62310 62465 64387 67938 74958 78585 81003 113230 124930 128774 135005 157170 162006 162409 169845 187395 193161 270010 321935 324818 339690 351013 374790 386322 405015 487227 643870 702026 810030 812045 837031 965805 974454 1053039 1624090 1674062 1755065 1931610 2106078 2436135 2511093 3510130 4185155 4872270 5022186 5265195 8370310 10530390 10881403 12555465 21762806 25110930 32644209 54407015 65288418 108814030 163221045 326442090