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311061426 = 231319211047
BaseRepresentation
bin10010100010100…
…110101110110010
3210200022120001120
4102202212232302
51114112431201
650511043110
710464656424
oct2242465662
9720276046
10311061426
1114a64a065
1288210496
134c5a1820
142d452814
151c496536
hex128a6bb2

311061426 has 48 divisors (see below), whose sum is σ = 707160384. Its totient is φ = 90665568.

The previous prime is 311061419. The next prime is 311061449. The reversal of 311061426 is 624160113.

It is a junction number, because it is equal to n+sod(n) for n = 311061396 and 311061405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22635 + ... + 33681.

It is an arithmetic number, because the mean of its divisors is an integer number (14732508).

Almost surely, 2311061426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311061426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353580192).

311061426 is an abundant number, since it is smaller than the sum of its proper divisors (396098958).

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

311061426 is a wasteful number, since it uses less digits than its factorization.

311061426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11103 (or 11084 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 311061426 is about 17636.9335770139. The cubic root of 311061426 is about 677.5614980281.

The spelling of 311061426 in words is "three hundred eleven million, sixty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 741 1083 1482 2166 4693 9386 11047 14079 22094 28158 33141 66282 143611 209893 287222 419786 430833 629679 861666 1259358 2728609 3987967 5457218 7975934 8185827 11963901 16371654 23927802 51843571 103687142 155530713 311061426