Search a number
-
+
3311620 = 2251347271
BaseRepresentation
bin1100101000100000000100
320020020200121
430220200010
51321432440
6154551324
740101604
oct14504004
96206617
103311620
111962084
121138544
138bc450
14622c04
1545634a
hex328804

3311620 has 48 divisors (see below), whose sum is σ = 7676928. Its totient is φ = 1192320.

The previous prime is 3311603. The next prime is 3311621. The reversal of 3311620 is 261133.

It is a junction number, because it is equal to n+sod(n) for n = 3311594 and 3311603.

It is not an unprimeable number, because it can be changed into a prime (3311621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12085 + ... + 12355.

It is an arithmetic number, because the mean of its divisors is an integer number (159936).

Almost surely, 23311620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838464).

3311620 is an abundant number, since it is smaller than the sum of its proper divisors (4365308).

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

3311620 is a wasteful number, since it uses less digits than its factorization.

3311620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3311620 is about 1819.7857016693. The cubic root of 3311620 is about 149.0550972610.

Adding to 3311620 its reverse (261133), we get a palindrome (3572753).

The spelling of 3311620 in words is "three million, three hundred eleven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 271 470 542 611 940 1084 1222 1355 2444 2710 3055 3523 5420 6110 7046 12220 12737 14092 17615 25474 35230 50948 63685 70460 127370 165581 254740 331162 662324 827905 1655810 3311620