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326542240 = 25513714897
BaseRepresentation
bin10011011101101…
…010001110100000
3211202110001202001
4103131222032200
51132043322430
652222533344
711043364123
oct2335521640
9752401661
10326542240
11158363022
1291437254
1352861c7b
14315223ba
151da033ca
hex1376a3a0

326542240 has 48 divisors (see below), whose sum is σ = 777139272. Its totient is φ = 129654784.

The previous prime is 326542217. The next prime is 326542241. The reversal of 326542240 is 42245623.

It can be written as a sum of positive squares in 4 ways, for example, as 318408336 + 8133904 = 17844^2 + 2852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 326542199 and 326542208.

It is not an unprimeable number, because it can be changed into a prime (326542241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14472 + ... + 29368.

Almost surely, 2326542240 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 326542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388569636).

326542240 is an abundant number, since it is smaller than the sum of its proper divisors (450597032).

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

326542240 is a wasteful number, since it uses less digits than its factorization.

326542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15049 (or 15041 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 326542240 is about 18070.4797944050. The cubic root of 326542240 is about 688.6202492070.

Adding to 326542240 its reverse (42245623), we get a palindrome (368787863).

The spelling of 326542240 in words is "three hundred twenty-six million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 14897 21920 29794 59588 74485 119176 148970 238352 297940 476704 595880 1191760 2040889 2383520 4081778 8163556 10204445 16327112 20408890 32654224 40817780 65308448 81635560 163271120 326542240