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328122252 = 22344192417
BaseRepresentation
bin10011100011101…
…011111110001100
3211212102100010000
4103203223332030
51132444403002
652320444300
711062664433
oct2343537614
9755370100
10328122252
11159242117
1291a79690
1352c961a3
143181411a
151dc1661c
hex138ebf8c

328122252 has 60 divisors (see below), whose sum is σ = 860179320. Its totient is φ = 109067904.

The previous prime is 328122251. The next prime is 328122271. The reversal of 328122252 is 252221823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (328122251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134548 + ... + 136964.

It is an arithmetic number, because the mean of its divisors is an integer number (14336322).

Almost surely, 2328122252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328122252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430089660).

328122252 is an abundant number, since it is smaller than the sum of its proper divisors (532057068).

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

328122252 is a wasteful number, since it uses less digits than its factorization.

328122252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2841 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 328122252 is about 18114.1450805717. The cubic root of 328122252 is about 689.7291186236.

The spelling of 328122252 in words is "three hundred twenty-eight million, one hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 419 838 1257 1676 2417 2514 3771 4834 5028 7251 7542 9668 11313 14502 15084 21753 22626 29004 33939 43506 45252 65259 67878 87012 130518 135756 195777 261036 391554 783108 1012723 2025446 3038169 4050892 6076338 9114507 12152676 18229014 27343521 36458028 54687042 82030563 109374084 164061126 328122252