Search a number
-
+
311202930 = 235371392017
BaseRepresentation
bin10010100011001…
…001010001110010
3210200120202011110
4102203021101302
51114131443210
650514054150
710466116113
oct2243112162
9720522143
10311202930
1114a736405
128827a356
134c62105c
142d48c20a
151c4c3420
hex128c9472

311202930 has 64 divisors (see below), whose sum is σ = 772974720. Its totient is φ = 80123904.

The previous prime is 311202887. The next prime is 311202961. The reversal of 311202930 is 39202113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311202897 and 311202906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153282 + ... + 155298.

It is an arithmetic number, because the mean of its divisors is an integer number (12077730).

Almost surely, 2311202930 is an apocalyptic number.

311202930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311202930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386487360).

311202930 is an abundant number, since it is smaller than the sum of its proper divisors (461771790).

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

311202930 is a wasteful number, since it uses less digits than its factorization.

311202930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 311202930 is about 17640.9447025946. The cubic root of 311202930 is about 677.6642249275.

The spelling of 311202930 in words is "three hundred eleven million, two hundred two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 139 185 222 278 370 417 555 695 834 1110 1390 2017 2085 4034 4170 5143 6051 10085 10286 12102 15429 20170 25715 30255 30858 51430 60510 74629 77145 149258 154290 223887 280363 373145 447774 560726 746290 841089 1119435 1401815 1682178 2238870 2803630 4205445 8410890 10373431 20746862 31120293 51867155 62240586 103734310 155601465 311202930