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328861290 = 235531071933
BaseRepresentation
bin10011100110100…
…000011001101010
3211220210212212210
4103212200121222
51133142030130
652344345550
711102163162
oct2346403152
9756725783
10328861290
111596a739a
12921752b6
13531946a4
14319675a2
151dd105b0
hex139a066a

328861290 has 64 divisors (see below), whose sum is σ = 812094336. Its totient is φ = 85193472.

The previous prime is 328861289. The next prime is 328861297. The reversal of 328861290 is 92168823.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (328861297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 169164 + ... + 171096.

It is an arithmetic number, because the mean of its divisors is an integer number (12688974).

Almost surely, 2328861290 is an apocalyptic number.

328861290 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 328861290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406047168).

328861290 is an abundant number, since it is smaller than the sum of its proper divisors (483233046).

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

328861290 is a wasteful number, since it uses less digits than its factorization.

328861290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 328861290 is about 18134.5330791835. The cubic root of 328861290 is about 690.2465617476.

The spelling of 328861290 in words is "three hundred twenty-eight million, eight hundred sixty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 107 159 214 265 318 321 530 535 642 795 1070 1590 1605 1933 3210 3866 5671 5799 9665 11342 11598 17013 19330 28355 28995 34026 56710 57990 85065 102449 170130 204898 206831 307347 413662 512245 614694 620493 1024490 1034155 1240986 1536735 2068310 3073470 3102465 6204930 10962043 21924086 32886129 54810215 65772258 109620430 164430645 328861290