Search a number
-
+
328241440 = 25517120677
BaseRepresentation
bin10011100100001…
…001000100100000
3211212122101121101
4103210021010200
51133012211230
652323204144
711064002062
oct2344110440
9755571541
10328241440
1115931371a
1291b16654
1353008507
1431845732
151dc3baca
hex13909120

328241440 has 48 divisors (see below), whose sum is σ = 821093112. Its totient is φ = 123572224.

The previous prime is 328241371. The next prime is 328241447. The reversal of 328241440 is 44142823.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 328189456 + 51984 = 18116^2 + 228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 328241399 and 328241408.

It is not an unprimeable number, because it can be changed into a prime (328241447) 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, 57619 + ... + 63058.

Almost surely, 2328241440 is an apocalyptic number.

It is an amenable number.

328241440 is an abundant number, since it is smaller than the sum of its proper divisors (492851672).

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

328241440 is a wasteful number, since it uses less digits than its factorization.

328241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120709 (or 120701 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 328241440 is about 18117.4346969984. The cubic root of 328241440 is about 689.8126215273.

The spelling of 328241440 in words is "three hundred twenty-eight million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 120677 241354 482708 603385 965416 1206770 1930832 2051509 2413540 3861664 4103018 4827080 8206036 9654160 10257545 16412072 19308320 20515090 32824144 41030180 65648288 82060360 164120720 328241440