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317480472 = 2335197829
BaseRepresentation
bin10010111011000…
…101111000011000
3211010101200100000
4102323011320120
51122233333342
651300413000
710603353021
oct2273057030
9733350300
10317480472
11153233861
128a3a7160
1350a0b48a
1430243c48
151cd1344c
hex12ec5e18

317480472 has 96 divisors (see below), whose sum is σ = 897296400. Its totient is φ = 105162624.

The previous prime is 317480467. The next prime is 317480473. The reversal of 317480472 is 274084713.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317480473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382554 + ... + 383382.

Almost surely, 2317480472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317480472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448648200).

317480472 is an abundant number, since it is smaller than the sum of its proper divisors (579815928).

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

317480472 is a wasteful number, since it uses less digits than its factorization.

317480472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 317480472 is about 17817.9817038855. The cubic root of 317480472 is about 682.1905081490.

The spelling of 317480472 in words is "three hundred seventeen million, four hundred eighty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 197 216 243 324 394 486 591 648 788 829 972 1182 1576 1658 1773 1944 2364 2487 3316 3546 4728 4974 5319 6632 7092 7461 9948 10638 14184 14922 15957 19896 21276 22383 29844 31914 42552 44766 47871 59688 63828 67149 89532 95742 127656 134298 163313 179064 191484 201447 268596 326626 382968 402894 489939 537192 653252 805788 979878 1306504 1469817 1611576 1959756 2939634 3919512 4409451 5879268 8818902 11758536 13228353 17637804 26456706 35275608 39685059 52913412 79370118 105826824 158740236 317480472