Search a number
-
+
420240384 = 2103245599
BaseRepresentation
bin11001000011000…
…101110000000000
31002021202102102200
4121003011300000
51330040143014
6105411113200
713261661424
oct3103056000
91067672380
10420240384
111a623a903
12b88a2800
13690aa265
143db52b84
1526d60a09
hex190c5c00

420240384 has 66 divisors (see below), whose sum is σ = 1213461600. Its totient is φ = 140077056.

The previous prime is 420240377. The next prime is 420240427. The reversal of 420240384 is 483042024.

It is a happy number.

420240384 is a `hidden beast` number, since 42 + 0 + 240 + 384 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13584 + ... + 32015.

Almost surely, 2420240384 is an apocalyptic number.

It is an amenable number.

420240384 is an abundant number, since it is smaller than the sum of its proper divisors (793221216).

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

420240384 is a wasteful number, since it uses less digits than its factorization.

420240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45625 (or 45604 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 420240384 is about 20499.7654620730. The cubic root of 420240384 is about 749.0300848936.

The spelling of 420240384 in words is "four hundred twenty million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 45599 91198 136797 182396 273594 364792 410391 547188 729584 820782 1094376 1459168 1641564 2188752 2918336 3283128 4377504 5836672 6566256 8755008 11673344 13132512 17510016 23346688 26265024 35020032 46693376 52530048 70040064 105060096 140080128 210120192 420240384