Search a number
-
+
405430032 = 24371206637
BaseRepresentation
bin11000001010100…
…101111100010000
31001020212222110010
4120022211330100
51312242230112
6104121434520
713022045520
oct3012457420
91036788403
10405430032
11198944647
12b393ba40
1365cc3037
143bbb9680
15258d763c
hex182a5f10

405430032 has 40 divisors (see below), whose sum is σ = 1196984896. Its totient is φ = 115837056.

The previous prime is 405430021. The next prime is 405430061. The reversal of 405430032 is 230034504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 405429990 and 405430008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602983 + ... + 603654.

Almost surely, 2405430032 is an apocalyptic number.

405430032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

405430032 is an abundant number, since it is smaller than the sum of its proper divisors (791554864).

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

405430032 is a wasteful number, since it uses less digits than its factorization.

405430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206655 (or 1206649 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 405430032 is about 20135.2931937928. The cubic root of 405430032 is about 740.1253938955.

Adding to 405430032 its reverse (230034504), we get a palindrome (635464536).

The spelling of 405430032 in words is "four hundred five million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1206637 2413274 3619911 4826548 7239822 8446459 9653096 14479644 16892918 19306192 25339377 28959288 33785836 50678754 57918576 67571672 101357508 135143344 202715016 405430032