Search a number
-
+
163354320 = 243652801
BaseRepresentation
bin10011011110010…
…01011011010000
3102101101021000000
421233021123100
5313304314240
624113130000
74022326443
oct1157113320
9371337000
10163354320
1184233578
1246859900
1327ac647c
14179a365a
15e51b430
hex9bc96d0

163354320 has 140 divisors (see below), whose sum is σ = 569640996. Its totient is φ = 43545600.

The previous prime is 163354319. The next prime is 163354357. The reversal of 163354320 is 23453361.

It is a happy number.

163354320 is a `hidden beast` number, since 1 + 6 + 335 + 4 + 320 = 666.

163354320 is digitally balanced in base 2, 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 2 ways, for example, as 70963776 + 92390544 = 8424^2 + 9612^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56920 + ... + 59720.

Almost surely, 2163354320 is an apocalyptic number.

163354320 is a gapful number since it is divisible by the number (10) 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 163354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284820498).

163354320 is an abundant number, since it is smaller than the sum of its proper divisors (406286676).

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

163354320 is an equidigital number, since it uses as much as digits as its factorization.

163354320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 163354320 is about 12781.0140442768. The cubic root of 163354320 is about 546.6510769564.

The spelling of 163354320 in words is "one hundred sixty-three million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2801 2916 3240 3645 3888 4860 5602 5832 6480 7290 8403 9720 11204 11664 14005 14580 16806 19440 22408 25209 28010 29160 33612 42015 44816 50418 56020 58320 67224 75627 84030 100836 112040 126045 134448 151254 168060 201672 224080 226881 252090 302508 336120 378135 403344 453762 504180 605016 672240 680643 756270 907524 1008360 1134405 1210032 1361286 1512540 1815048 2016720 2041929 2268810 2722572 3025080 3403215 3630096 4083858 4537620 5445144 6050160 6806430 8167716 9075240 10209645 10890288 13612860 16335432 18150480 20419290 27225720 32670864 40838580 54451440 81677160 163354320