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416380347 = 32291595327
BaseRepresentation
bin11000110100010…
…111010110111011
31002000111022110100
4120310113112323
51323043132342
6105152250443
713214113605
oct3064272673
91060438410
10416380347
111a4043799
12b7540a23
1368358306
143d42a175
152684be4c
hex18d175bb

416380347 has 12 divisors (see below), whose sum is σ = 622177920. Its totient is φ = 268014768.

The previous prime is 416380343. The next prime is 416380361. The reversal of 416380347 is 743083614.

It is not a de Polignac number, because 416380347 - 22 = 416380343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416380343) 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, 797403 + ... + 797924.

It is an arithmetic number, because the mean of its divisors is an integer number (51848160).

Almost surely, 2416380347 is an apocalyptic number.

416380347 is a deficient number, since it is larger than the sum of its proper divisors (205797573).

416380347 is a wasteful number, since it uses less digits than its factorization.

416380347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595362 (or 1595359 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 416380347 is about 20405.3999470728. The cubic root of 416380347 is about 746.7296699822.

The spelling of 416380347 in words is "four hundred sixteen million, three hundred eighty thousand, three hundred forty-seven".

Divisors: 1 3 9 29 87 261 1595327 4785981 14357943 46264483 138793449 416380347