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311203420 = 225113145631
BaseRepresentation
bin10010100011001…
…001011001011100
3210200120202211121
4102203021121130
51114132002140
650514100324
710466120413
oct2243113134
9720522747
10311203420
1114a736810
128827a6a4
134c621348
142d48c47a
151c4c364a
hex128c965c

311203420 has 48 divisors (see below), whose sum is σ = 735952896. Its totient is φ = 109512000.

The previous prime is 311203391. The next prime is 311203423. The reversal of 311203420 is 24302113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311203394 and 311203403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311203423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15996 + ... + 29635.

It is an arithmetic number, because the mean of its divisors is an integer number (15332352).

Almost surely, 2311203420 is an apocalyptic number.

It is an amenable number.

311203420 is an abundant number, since it is smaller than the sum of its proper divisors (424749476).

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

311203420 is a wasteful number, since it uses less digits than its factorization.

311203420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45682 (or 45680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 311203420 is about 17640.9585907342. The cubic root of 311203420 is about 677.6645805961.

Adding to 311203420 its reverse (24302113), we get a palindrome (335505533).

The spelling of 311203420 in words is "three hundred eleven million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 45631 91262 182524 228155 456310 501941 912620 1003882 1414561 2007764 2509705 2829122 5019410 5658244 7072805 10038820 14145610 15560171 28291220 31120342 62240684 77800855 155601710 311203420