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356490945 = 3257922021
BaseRepresentation
bin10101001111111…
…001111011000001
3220211210121122100
4111033321323001
51212230202240
655212501013
711556060126
oct2517717301
9824717570
10356490945
11173258a18
129b47a769
1358b197b5
14354ba74d
152146be30
hex153f9ec1

356490945 has 12 divisors (see below), whose sum is σ = 617917716. Its totient is φ = 190128480.

The previous prime is 356490923. The next prime is 356490947. The reversal of 356490945 is 549094653.

It can be written as a sum of positive squares in 2 ways, for example, as 268206129 + 88284816 = 16377^2 + 9396^2 .

It is not a de Polignac number, because 356490945 - 28 = 356490689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 7922021 = 356490945 / (3 + 5 + 6 + 4 + 9 + 0 + 9 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 356490945.

It is not an unprimeable number, because it can be changed into a prime (356490947) 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 11 ways as a sum of consecutive naturals, for example, 3960966 + ... + 3961055.

It is an arithmetic number, because the mean of its divisors is an integer number (51493143).

Almost surely, 2356490945 is an apocalyptic number.

It is an amenable number.

356490945 is a deficient number, since it is larger than the sum of its proper divisors (261426771).

356490945 is a wasteful number, since it uses less digits than its factorization.

356490945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922032 (or 7922029 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 356490945 is about 18880.9677982883. The cubic root of 356490945 is about 709.0597518809.

It can be divided in two parts, 356490 and 945, that added together give a triangular number (357435 = T845).

The spelling of 356490945 in words is "three hundred fifty-six million, four hundred ninety thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 7922021 23766063 39610105 71298189 118830315 356490945