Search a number
-
+
311442420 = 22355190707
BaseRepresentation
bin10010100100000…
…011101111110100
3210201000220200110
4102210003233310
51114212124140
650523143020
710501134252
oct2244035764
9721026613
10311442420
1114a88a333
1288374a70
134c6a6073
142d5115d2
151c51e380
hex12903bf4

311442420 has 24 divisors (see below), whose sum is σ = 872038944. Its totient is φ = 83051296.

The previous prime is 311442419. The next prime is 311442449. The reversal of 311442420 is 24244113.

311442420 is nontrivially palindromic in base 14.

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, 2595294 + ... + 2595413.

It is an arithmetic number, because the mean of its divisors is an integer number (36334956).

Almost surely, 2311442420 is an apocalyptic number.

311442420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311442420 is an abundant number, since it is smaller than the sum of its proper divisors (560596524).

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

311442420 is a wasteful number, since it uses less digits than its factorization.

311442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190719 (or 5190717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 311442420 is about 17647.7312989517. The cubic root of 311442420 is about 677.8380152699.

Adding to 311442420 its reverse (24244113), we get a palindrome (335686533).

It can be divided in two parts, 31 and 1442420, that added together give a triangular number (1442451 = T1698).

The spelling of 311442420 in words is "three hundred eleven million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5190707 10381414 15572121 20762828 25953535 31144242 51907070 62288484 77860605 103814140 155721210 311442420