Search a number
-
+
317194240 = 2195112
BaseRepresentation
bin10010111010000…
…000000000000000
3211002212010200211
4102322000000000
51122200203430
651250323504
710601051356
oct2272000000
9732763624
10317194240
11153058800
128a289594
135093b0cc
14301ab7d6
151cca872a
hex12e80000

317194240 has 120 divisors (see below), whose sum is σ = 836762850. Its totient is φ = 115343360.

The previous prime is 317194223. The next prime is 317194249. The reversal of 317194240 is 42491713.

317194240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 285474816 + 31719424 = 16896^2 + 5632^2 .

It is a super-2 number, since 2×3171942402 = 201224371778355200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (317194249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28835835 + ... + 28835845.

Almost surely, 2317194240 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 317194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418381425).

317194240 is an abundant number, since it is smaller than the sum of its proper divisors (519568610).

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

317194240 is an frugal number, since it uses more digits than its factorization.

317194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 317194240 is about 17809.9477820683. The cubic root of 317194240 is about 681.9854315306.

The spelling of 317194240 in words is "three hundred seventeen million, one hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1210 1280 1408 1760 1936 2048 2420 2560 2816 3520 3872 4096 4840 5120 5632 7040 7744 8192 9680 10240 11264 14080 15488 16384 19360 20480 22528 28160 30976 32768 38720 40960 45056 56320 61952 65536 77440 81920 90112 112640 123904 131072 154880 163840 180224 225280 247808 262144 309760 327680 360448 450560 495616 524288 619520 655360 720896 901120 991232 1239040 1310720 1441792 1802240 1982464 2478080 2621440 2883584 3604480 3964928 4956160 5767168 7208960 7929856 9912320 14417920 15859712 19824640 28835840 31719424 39649280 63438848 79298560 158597120 317194240