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317207040 = 2935103401
BaseRepresentation
bin10010111010000…
…011001000000000
3211002212210020220
4102322003020000
51122201111130
651250503040
710601133603
oct2272031000
9732783226
10317207040
11153067387
128a294a80
1350943b97
14301b233a
151ccac410
hex12e83200

317207040 has 160 divisors (see below), whose sum is σ = 1026470016. Its totient is φ = 83558400.

The previous prime is 317207027. The next prime is 317207083. The reversal of 317207040 is 40702713.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 317207040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790840 + ... + 791240.

Almost surely, 2317207040 is an apocalyptic number.

317207040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513235008).

317207040 is an abundant number, since it is smaller than the sum of its proper divisors (709262976).

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

317207040 is a wasteful number, since it uses less digits than its factorization.

317207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 317207040 is about 17810.3071281772. The cubic root of 317207040 is about 681.9946049802.

Adding to 317207040 its reverse (40702713), we get a palindrome (357909753).

The spelling of 317207040 in words is "three hundred seventeen million, two hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 256 309 320 384 401 412 480 512 515 618 640 768 802 824 960 1030 1203 1236 1280 1536 1545 1604 1648 1920 2005 2060 2406 2472 2560 3090 3208 3296 3840 4010 4120 4812 4944 6015 6180 6416 6592 7680 8020 8240 9624 9888 12030 12360 12832 13184 16040 16480 19248 19776 24060 24720 25664 26368 32080 32960 38496 39552 41303 48120 49440 51328 52736 64160 65920 76992 79104 82606 96240 98880 102656 123909 128320 131840 153984 158208 165212 192480 197760 205312 206515 247818 256640 263680 307968 330424 384960 395520 413030 495636 513280 615936 619545 660848 769920 791040 826060 991272 1026560 1239090 1321696 1539840 1652120 1982544 2478180 2643392 3079680 3304240 3965088 4956360 5286784 6608480 7930176 9912720 10573568 13216960 15860352 19825440 21147136 26433920 31720704 39650880 52867840 63441408 79301760 105735680 158603520 317207040