Search a number
-
+
3031958286 = 2327314311801
BaseRepresentation
bin1011010010111000…
…0000001100001110
321211022011102212100
42310232000030032
522202140131121
61220505215530
7135064135350
oct26456001416
97738142770
103031958286
111316509155
127074915a6
133941c3976
1420a9650d0
1512b2a8026
hexb4b8030e

3031958286 has 96 divisors (see below), whose sum is σ = 7772184576. Its totient is φ = 835920000.

The previous prime is 3031958263. The next prime is 3031958287. The reversal of 3031958286 is 6828591303.

It is a happy number.

3031958286 is a `hidden beast` number, since 3 + 0 + 319 + 58 + 286 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031958287) 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 47 ways as a sum of consecutive naturals, for example, 1682586 + ... + 1684386.

It is an arithmetic number, because the mean of its divisors is an integer number (80960256).

Almost surely, 23031958286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031958286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886092288).

3031958286 is an abundant number, since it is smaller than the sum of its proper divisors (4740226290).

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

3031958286 is a wasteful number, since it uses less digits than its factorization.

3031958286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3031958286 is about 55063.2208102650. The cubic root of 3031958286 is about 1447.3528056004.

The spelling of 3031958286 in words is "three billion, thirty-one million, nine hundred fifty-eight thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 431 434 558 651 862 1293 1302 1801 1953 2586 3017 3602 3879 3906 5403 6034 7758 9051 10806 12607 13361 16209 18102 25214 26722 27153 32418 37821 40083 54306 55831 75642 80166 93527 111662 113463 120249 167493 187054 226926 240498 280581 334986 390817 502479 561162 776231 781634 841743 1004958 1172451 1552462 1683486 2328693 2344902 3517353 4657386 5433617 6986079 7034706 10867234 13972158 16300851 24063161 32601702 48126322 48902553 72189483 97805106 144378966 168442127 216568449 336884254 433136898 505326381 1010652762 1515979143 3031958286