Search a number
-
+
707340960 = 253254091201
BaseRepresentation
bin101010001010010…
…010101010100000
31211021222122101100
4222022102222200
52422034402320
6154104434400
723346204354
oct5212225240
91737878340
10707340960
11333303807
12178a78a00
13b370c861
1469d29464
1542172790
hex2a292aa0

707340960 has 144 divisors (see below), whose sum is σ = 2421717480. Its totient is φ = 188006400.

The previous prime is 707340917. The next prime is 707340961. The reversal of 707340960 is 69043707.

It can be written as a sum of positive squares in 4 ways, for example, as 486996624 + 220344336 = 22068^2 + 14844^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (707340961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588360 + ... + 589560.

Almost surely, 2707340960 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 707340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210858740).

707340960 is an abundant number, since it is smaller than the sum of its proper divisors (1714376520).

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

707340960 is a wasteful number, since it uses less digits than its factorization.

707340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 707340960 is about 26595.8823880690. The cubic root of 707340960 is about 890.9970562241.

The spelling of 707340960 in words is "seven hundred seven million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 409 480 720 818 1201 1227 1440 1636 2045 2402 2454 3272 3603 3681 4090 4804 4908 6005 6135 6544 7206 7362 8180 9608 9816 10809 12010 12270 13088 14412 14724 16360 18015 18405 19216 19632 21618 24020 24540 28824 29448 32720 36030 36810 38432 39264 43236 48040 49080 54045 57648 58896 65440 72060 73620 86472 96080 98160 108090 115296 117792 144120 147240 172944 192160 196320 216180 288240 294480 345888 432360 491209 576480 588960 864720 982418 1473627 1729440 1964836 2456045 2947254 3929672 4420881 4912090 5894508 7368135 7859344 8841762 9824180 11789016 14736270 15718688 17683524 19648360 22104405 23578032 29472540 35367048 39296720 44208810 47156064 58945080 70734096 78593440 88417620 117890160 141468192 176835240 235780320 353670480 707340960