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328269240 = 2333513103227
BaseRepresentation
bin10011100100001…
…111110110111000
3211212200210202000
4103210033312320
51133014103430
652323541000
711064146115
oct2344176670
9755623660
10328269240
111593325a2
1291b2a760
1353018070
143185190c
151dc44e60
hex1390fdb8

328269240 has 256 divisors, whose sum is σ = 1195084800. Its totient is φ = 79667712.

The previous prime is 328269239. The next prime is 328269301. The reversal of 328269240 is 42962823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328269195 and 328269204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446007 + ... + 1446233.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2328269240 is an apocalyptic number.

328269240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328269240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597542400).

328269240 is an abundant number, since it is smaller than the sum of its proper divisors (866815560).

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

328269240 is a wasteful number, since it uses less digits than its factorization.

328269240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 328269240 is about 18118.2018975394. The cubic root of 328269240 is about 689.8320952512.

It can be divided in two parts, 328269 and 240, that added together give a cube (328509 = 693).

The spelling of 328269240 in words is "three hundred twenty-eight million, two hundred sixty-nine thousand, two hundred forty".