Search a number
-
+
311134340 = 2251117233617
BaseRepresentation
bin10010100010111…
…000100010000100
3210200110021002002
4102202320202010
51114122244330
650512404432
710465412126
oct2242704204
9720407062
10311134340
1114a699920
1288246718
134c5c8a7a
142d471216
151c4ace45
hex128b8884

311134340 has 96 divisors (see below), whose sum is σ = 787739904. Its totient is φ = 101826560.

The previous prime is 311134339. The next prime is 311134361. The reversal of 311134340 is 43431113.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 84212 + ... + 87828.

It is an arithmetic number, because the mean of its divisors is an integer number (8205624).

Almost surely, 2311134340 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 311134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393869952).

311134340 is an abundant number, since it is smaller than the sum of its proper divisors (476605564).

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

311134340 is a wasteful number, since it uses less digits than its factorization.

311134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 311134340 is about 17639.0005385793. Note that the first 3 decimals coincide. The cubic root of 311134340 is about 677.6144349031.

Adding to 311134340 its reverse (43431113), we get a palindrome (354565453).

It can be divided in two parts, 31113 and 4340, that added together give a palindrome (35453).

The spelling of 311134340 in words is "three hundred eleven million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2530 3617 3740 3910 4301 5060 7234 7820 8602 14468 17204 18085 21505 36170 39787 43010 61489 72340 79574 83191 86020 122978 159148 166382 198935 245956 307445 332764 397870 415955 614890 676379 795740 831910 915101 1229780 1352758 1414247 1663820 1830202 2705516 2828494 3381895 3660404 4575505 5656988 6763790 7071235 9151010 13527580 14142470 15556717 18302020 28284940 31113434 62226868 77783585 155567170 311134340