[go: up one dir, main page]

Search a number
-
+
705685344 = 25371380779
BaseRepresentation
bin101010000011111…
…110011101100000
31211011212112022020
4222003332131200
52421123412334
6154005141440
723326140450
oct5203763540
91734775266
10705685344
11332382931
121783ba880
13b32800c0
1469a17d60
1541e46e49
hex2a0fe760

705685344 has 96 divisors (see below), whose sum is σ = 2279934720. Its totient is φ = 186112512.

The previous prime is 705685303. The next prime is 705685367. The reversal of 705685344 is 443586507.

705685344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 705685296 and 705685305.

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, 31654 + ... + 49125.

It is an arithmetic number, because the mean of its divisors is an integer number (23749320).

Almost surely, 2705685344 is an apocalyptic number.

It is an amenable number.

705685344 is an abundant number, since it is smaller than the sum of its proper divisors (1574249376).

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

705685344 is a wasteful number, since it uses less digits than its factorization.

705685344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80812 (or 80804 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 705685344 is about 26564.7387338931. The cubic root of 705685344 is about 890.3013514719.

The spelling of 705685344 in words is "seven hundred five million, six hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 80779 161558 242337 323116 484674 565453 646232 969348 1050127 1130906 1292464 1696359 1938696 2100254 2261812 2584928 3150381 3392718 3877392 4200508 4523624 6300762 6785436 7350889 7754784 8401016 9047248 12601524 13570872 14701778 16802032 18094496 22052667 25203048 27141744 29403556 33604064 44105334 50406096 54283488 58807112 88210668 100812192 117614224 176421336 235228448 352842672 705685344