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288374401 = 746189363
BaseRepresentation
bin10001001100000…
…011111010000001
3202002121221022101
4101030003322001
51042310440101
644340510401
710101066460
oct2114037201
9662557271
10288374401
11138863a57
12806ab401
134798a353
142a4289d7
151a4b4401
hex11303e81

288374401 has 8 divisors (see below), whose sum is σ = 330289344. Its totient is φ = 246639120.

The previous prime is 288374393. The next prime is 288374413. The reversal of 288374401 is 104473882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 288374401 - 23 = 288374393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288374441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41455 + ... + 47908.

It is an arithmetic number, because the mean of its divisors is an integer number (41286168).

Almost surely, 2288374401 is an apocalyptic number.

It is an amenable number.

288374401 is a deficient number, since it is larger than the sum of its proper divisors (41914943).

288374401 is an equidigital number, since it uses as much as digits as its factorization.

288374401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89831.

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 288374401 is about 16981.5900610043. The cubic root of 288374401 is about 660.6714936546.

It can be divided in two parts, 2883 and 74401, that added together give a square (77284 = 2782).

The spelling of 288374401 in words is "two hundred eighty-eight million, three hundred seventy-four thousand, four hundred one".

Divisors: 1 7 461 3227 89363 625541 41196343 288374401