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378464405 = 51125091229
BaseRepresentation
bin10110100011101…
…110100010010101
3222101010222120012
4112203232202111
51233341330110
6101315450005
712243615524
oct2643564225
9871128505
10378464405
111846a6a00
12a68b6905
1360541247
143839a4bb
152335c905
hex168ee895

378464405 has 24 divisors (see below), whose sum is σ = 500585400. Its totient is φ = 274482560.

The previous prime is 378464389. The next prime is 378464417. The reversal of 378464405 is 504464873.

It can be written as a sum of positive squares in 4 ways, for example, as 204804721 + 173659684 = 14311^2 + 13178^2 .

It is not a de Polignac number, because 378464405 - 24 = 378464389 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307331 + ... + 308559.

It is an arithmetic number, because the mean of its divisors is an integer number (20857725).

Almost surely, 2378464405 is an apocalyptic number.

It is an amenable number.

378464405 is a deficient number, since it is larger than the sum of its proper divisors (122120995).

378464405 is a wasteful number, since it uses less digits than its factorization.

378464405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 378464405 is about 19454.1616370380. The cubic root of 378464405 is about 723.3386644518.

The spelling of 378464405 in words is "three hundred seventy-eight million, four hundred sixty-four thousand, four hundred five".

Divisors: 1 5 11 55 121 509 605 1229 2545 5599 6145 13519 27995 61589 67595 148709 307945 625561 743545 3127805 6881171 34405855 75692881 378464405