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414465344 = 2614534457
BaseRepresentation
bin11000101101000…
…011110101000000
31001212220000120022
4120231003311000
51322100342334
6105043233012
713161616526
oct3055036500
91055800508
10414465344
111a2a55a47
12b6978768
1367b37787
143d08c316
15265be82e
hex18b43d40

414465344 has 28 divisors (see below), whose sum is σ = 823205364. Its totient is φ = 207043584.

The previous prime is 414465341. The next prime is 414465367. The reversal of 414465344 is 443564414.

It can be written as a sum of positive squares in 2 ways, for example, as 361000000 + 53465344 = 19000^2 + 7312^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414465341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90764 + ... + 95220.

Almost surely, 2414465344 is an apocalyptic number.

It is an amenable number.

414465344 is a deficient number, since it is larger than the sum of its proper divisors (408740020).

414465344 is a wasteful number, since it uses less digits than its factorization.

414465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5912 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

The square root of 414465344 is about 20358.4219427735. The cubic root of 414465344 is about 745.5831321744.

The spelling of 414465344 in words is "four hundred fourteen million, four hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 1453 2906 4457 5812 8914 11624 17828 23248 35656 46496 71312 92992 142624 285248 6476021 12952042 25904084 51808168 103616336 207232672 414465344