Search a number
-
+
313797645 = 3457172383
BaseRepresentation
bin10010101101000…
…010110000001101
3210212110120110000
4102231002300031
51120313011040
651045434513
710530143640
oct2255026015
9725416400
10313797645
111511488a7
128910ba39
135001c0a5
142d965a57
151c837130
hex12b42c0d

313797645 has 120 divisors (see below), whose sum is σ = 684693504. Its totient is φ = 134659584.

The previous prime is 313797623. The next prime is 313797697. The reversal of 313797645 is 546797313.

It is not a de Polignac number, because 313797645 - 210 = 313796621 is a prime.

It is a super-3 number, since 3×3137976453 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (476280) is a multiple of the sum of its prime factors (441).

It is a self number, because there is not a number n which added to its sum of digits gives 313797645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 819124 + ... + 819506.

Almost surely, 2313797645 is an apocalyptic number.

313797645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313797645 is an abundant number, since it is smaller than the sum of its proper divisors (370895859).

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

313797645 is a wasteful number, since it uses less digits than its factorization.

313797645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 415 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 313797645 is about 17714.3344498178. The cubic root of 313797645 is about 679.5424004652.

The spelling of 313797645 in words is "three hundred thirteen million, seven hundred ninety-seven thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 255 289 315 357 383 405 459 567 595 765 867 945 1071 1149 1377 1445 1785 1915 2023 2295 2601 2681 2835 3213 3447 4335 5355 5745 6069 6511 6885 7803 8043 9639 10115 10341 13005 13405 16065 17235 18207 19533 23409 24129 30345 31023 32555 39015 40215 45577 48195 51705 54621 58599 72387 91035 97665 110687 117045 120645 136731 155115 163863 175797 217161 227885 273105 292995 332061 361935 410193 527391 553435 683655 774809 819315 878985 996183 1085805 1230579 1660305 2050965 2324427 2636955 2988549 3691737 3874045 4980915 6152895 6973281 8965647 11622135 14942745 18458685 20919843 34866405 44828235 62759529 104599215 313797645