Search a number
-
+
311412432 = 24319341461
BaseRepresentation
bin10010100011111…
…100011011010000
3210200222101112210
4102203330123100
51114210144212
650522352120
710500650652
oct2243743320
9720871483
10311412432
1114a869851
128835b640
134c695516
142d5046d2
151c51553c
hex128fc6d0

311412432 has 40 divisors (see below), whose sum is σ = 846825760. Its totient is φ = 98340480.

The previous prime is 311412421. The next prime is 311412457. The reversal of 311412432 is 234214113.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 311412399 and 311412408.

It is a congruent number.

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, 169819 + ... + 171642.

It is an arithmetic number, because the mean of its divisors is an integer number (21170644).

Almost surely, 2311412432 is an apocalyptic number.

It is an amenable number.

311412432 is an abundant number, since it is smaller than the sum of its proper divisors (535413328).

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

311412432 is a wasteful number, since it uses less digits than its factorization.

311412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341491 (or 341485 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 311412432 is about 17646.8816508753. The cubic root of 311412432 is about 677.8162588044.

Adding to 311412432 its reverse (234214113), we get a palindrome (545626545).

The spelling of 311412432 in words is "three hundred eleven million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 341461 682922 1024383 1365844 2048766 2731688 4097532 5463376 6487759 8195064 12975518 16390128 19463277 25951036 38926554 51902072 77853108 103804144 155706216 311412432