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385805440 = 275602821
BaseRepresentation
bin10110111111101…
…110110010000000
3222212221221120101
4112333232302000
51242231233230
6102141052144
712363202126
oct2677566200
9885857511
10385805440
11188860379
12a9257054
1361c11757
143934b916
1523d0caca
hex16feec80

385805440 has 32 divisors (see below), whose sum is σ = 922317660. Its totient is φ = 154321920.

The previous prime is 385805423. The next prime is 385805461. The reversal of 385805440 is 44508583.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 383219776 + 2585664 = 19576^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 385805440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300771 + ... + 302050.

Almost surely, 2385805440 is an apocalyptic number.

It is an amenable number.

385805440 is an abundant number, since it is smaller than the sum of its proper divisors (536512220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385805440 is an equidigital number, since it uses as much as digits as its factorization.

385805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602840 (or 602828 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 385805440 is about 19641.9306586700. The cubic root of 385805440 is about 727.9855892168.

The spelling of 385805440 in words is "three hundred eighty-five million, eight hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 602821 1205642 2411284 3014105 4822568 6028210 9645136 12056420 19290272 24112840 38580544 48225680 77161088 96451360 192902720 385805440