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313540470 = 2355196791
BaseRepresentation
bin10010101100000…
…011111101110110
3210211222111200000
4102230003331312
51120231243340
651040132130
710525023105
oct2254037566
9724874600
10313540470
11150a92661
1289007046
134cc5c009
142d8da03c
151c7d5d30
hex12b03f76

313540470 has 96 divisors (see below), whose sum is σ = 890023680. Its totient is φ = 79198560.

The previous prime is 313540463. The next prime is 313540471. The reversal of 313540470 is 74045313.

313540470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313540471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42775 + ... + 49565.

It is an arithmetic number, because the mean of its divisors is an integer number (9271080).

Almost surely, 2313540470 is an apocalyptic number.

313540470 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 313540470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445011840).

313540470 is an abundant number, since it is smaller than the sum of its proper divisors (576483210).

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

313540470 is a wasteful number, since it uses less digits than its factorization.

313540470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 313540470 is about 17707.0740101238. The cubic root of 313540470 is about 679.3567085247.

Adding to 313540470 its reverse (74045313), we get a palindrome (387585783).

The spelling of 313540470 in words is "three hundred thirteen million, five hundred forty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 4617 5130 6791 7695 9234 13582 15390 20373 23085 33955 40746 46170 61119 67910 101865 122238 129029 183357 203730 258058 305595 366714 387087 550071 611190 645145 774174 916785 1100142 1161261 1290290 1650213 1833570 1935435 2322522 2750355 3300426 3483783 3870870 5500710 5806305 6967566 8251065 10451349 11612610 16502130 17418915 20902698 31354047 34837830 52256745 62708094 104513490 156770235 313540470