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313893040 = 24523916417
BaseRepresentation
bin10010101101011…
…010000010110000
3210212122102022011
4102231122002300
51120324034130
651051452304
710531022026
oct2255320260
9725572264
10313893040
1115120353a
1289157094
1350053636
142d98c716
151c85552a
hex12b5a0b0

313893040 has 40 divisors (see below), whose sum is σ = 732899520. Its totient is φ = 125024256.

The previous prime is 313893001. The next prime is 313893061. The reversal of 313893040 is 40398313.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 313892993 and 313893011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10912 + ... + 27328.

It is an arithmetic number, because the mean of its divisors is an integer number (18322488).

Almost surely, 2313893040 is an apocalyptic number.

It is an amenable number.

313893040 is an abundant number, since it is smaller than the sum of its proper divisors (419006480).

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

313893040 is a wasteful number, since it uses less digits than its factorization.

313893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16669 (or 16663 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 313893040 is about 17717.0268386092. The cubic root of 313893040 is about 679.6112541574.

The spelling of 313893040 in words is "three hundred thirteen million, eight hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 9560 16417 19120 32834 65668 82085 131336 164170 262672 328340 656680 1313360 3923663 7847326 15694652 19618315 31389304 39236630 62778608 78473260 156946520 313893040